First of all congratulations on your initiative to the rest of the class and, not least, welcome to the Stack Overflow community!
Now let’s get down to business...
I realized that your problem is not in creating the buttons and the interface, but in adding a function to them, what we call events.
How events work out:
- Every operating system that supports graphical interface monitors
events (clicks, mouse movements, keystrokes, etc.). 
- When an event happens, the operating system informs the
program. 
- The program decides what to do as an event according to what
was programmed. 
- Are the events that control all user interactions with the
program (clicks, typed text, mouse movements, etc.). 
- To work with events in Java from components
SWING we can use package features - java.awt.event.
 
- Each component of the graphical interface (window, button, text field,
etc.) has listening interfaces (Listen) when an event is
generated. 
- Each interface has associated methods to treat the different
events. 
Now that we know a little better how events work, let’s get to the practical part!
I wrote this example that is not very useful, but it’s great to understand how events work in practice (note the comments):
import javax.swing.*;
import java.awt.event.*;
public class MeuJFrame extends JFrame {
    private JButton botao;
    private JTextField campo;
    public MeuJFrame() {
        this.setTitle("Exemplo");
        this.setBounds(0, 0, 200, 200);
        this.setDefaultCloseOperation(EXIT_ON_CLOSE);
        this.getContentPane().setLayout(null);
        botao = new JButton();
        botao.setText("botão");
        botao.setBounds(40, 100, 100, 50);
        this.add(botao);
        campo = new JTextField();
        campo.setBounds(40, 50, 100, 30);
        this.add(campo);
        // Adicionando um evento action ao botão
        botao.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent evt) {
                // Aqui você escreve qual será a ação do botão ao ser clicado!
                botao.setText(campo.getText());
            }
        });
    } // construtor
    public static void main(String[] args) {
        MeuJFrame exemplo = new MeuJFrame();
        exemplo.setVisible(true);
    } // método main
} // classe
If you run the above example, you will notice that the action of the button I added captures the text inserted in JTextField and assigns it to the button text.
A print of the execution:

Completion:
With the information cited above, you can enter any action at any button in your program.
I didn’t want to make your challenge easier by writing what a button would look like!
Any questions ask me in the comments, I hope to have helped.
EDIT:
As there are still some doubts, I decided to write a prototype of a calculator for you to have something to base:
import javax.swing.*;
import java.awt.event.*;
public class Calculadora extends JFrame {
    private JButton numero1;
    private JButton numero2;
    private JButton somar;
    private JButton igual;
    private JTextField display;
    private int leitura;
    private int memoria;
    private char operacao;
    public Calculadora() {
        this.setTitle("Exemplo Botão Somar");
        this.setBounds(0, 0, 267, 235);
        this.setDefaultCloseOperation(EXIT_ON_CLOSE);
        this.getContentPane().setLayout(null);
        leitura = 0;
        memoria = 0;
        somar = new JButton();
        somar.setText("+");
        somar.setBounds(145, 70, 78, 45);
        this.add(somar);
        igual = new JButton();
        igual.setText("=");
        igual.setBounds(25, 130, 200, 45);
        this.add(igual);
        numero1 = new JButton();
        numero1.setText("1");
        numero1.setBounds(25, 70, 45, 45);
        this.add(numero1);
        numero2 = new JButton();
        numero2.setText("2");
        numero2.setBounds(85, 70, 45, 45);
        this.add(numero2);
        display = new JTextField();
        display.setBounds(25, 25, 200, 30);
        this.add(display);
        numero1.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent evt) {
                leitura *= 10;
                leitura += 1;
                display.setText(display.getText() + "1");
            }
        });
        numero2.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent evt) {
                leitura *= 10;
                leitura += 2;
                display.setText(display.getText() + "2");
            }
        });
        somar.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent evt) {
                operacao = '+';
                memoria += leitura;
                leitura = 0;
                display.setText("");
            }
        });
        igual.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent evt) {
                switch (operacao) {
                    case '+': {
                        memoria += leitura;
                        break;
                    }
                }
                leitura = 0;
                display.setText("" + memoria);
            }
        });
    } // construtor
    public static void main(String[] args) {
        Calculadora exemplo = new Calculadora();
        exemplo.setVisible(true);
    }
} // classe
A print of the execution:

Note: It is not perfect, there are several purposeful bugs that you will have to solve to improve your programming logic... Use this code as a starting point!
							
							
						 
I believe you are walking well, thank you very much man ! However, my only question now is: As in your example, the action of the button was to capture the text, how do I for the action of a button be sum, or subtraction for my calculator ? See, I’ve come this far: field = new Jtextfield(); field.setBounds(40,50,100,30); this.add(field); botaoMais.addActionListener(new Actionlistener(){ public void actionPerformed(Actionevent evt){ Now all I need to know is how to make the function sum or any other element of a calculator on each button !
– Gabriel Ozzy
Explaining here by the comments is complicated... I added another example to my answer, more like a calculator. Any doubt warns me!
– AndersonBS
I’ll try my best ! Thank you very much, friend ! You have no idea how much you helped !
– Gabriel Ozzy
That’s it! I bet you’ll get it!!
– AndersonBS