One way to update table from Frame2 with values from text fields from Frame1 is to use the observer pattern. Frame1 will have a list of observers which need to be updated once the observable (Frame1) inserts or has new values. I will add the code to be able to understand this better. Also, have a look at the Observer Pattern.
Let's define an Observable interface (these are all the methods that an Observable needs to implement)
public interface Observable {
    public void addObserver(Observer o);
    public void removeObserver(Observer o);
    public void notifyObserver(String[] row);
}
Let's define Frame1 which will be the Observervable
public class Frame1 extends javax.swing.JFrame implements Observable{
    private javax.swing.JTextField jTextField1;
    private javax.swing.JTextField jTextField2;
    private javax.swing.JButton submitButton;
    private List<Observer> observers = new ArrayList<>();
    public Frame1() {
        initComponents(); // 2 text fields and 1 button
    }
    private void initComponents() {
        // I will skip this part you can generate it with NetBeans
        // Basically initialise jTextField1, jTextField2, and submitButton
    }
    private void submitButtonActionPerformed(java.awt.event.ActionEvent evt)    {                                             
        String[] row = {jTextField1.getText(), jTextField2.getText()};        
        notifyObserver(row);
    }  
    @Override
    public void addObserver(Observer o) {
        observers.add(o);  // subscribe new observer
    }
    @Override
    public void removeObserver(Observer o) {
        observers.remove(o); // unsubscribe new observer
    }
    @Override
    public void notifyObserver(String[] row) {
        for (Observer observer: observers) { 
            observer.update(row);  // notify all observers that new row values are available
        }
    } 
}
Also, let's define an Observer interface (these are all the methods that an Observer needs to implement)
public interface Observer {
    public void update(String[] row);
}
Let's define Frame2 which will be the Observer
public class Frame2 extends javax.swing.JFrame implements Observer {
    private javax.swing.JTable jTable1;
    public Frame2() {
        initComponents();
    }
    private void initComponents() {
        // I will skip this part you can generate it with NetBeans
        // Basically initialise jTable1
    }
    public void addRow(String column1, String column2){
        DefaultTableModel model = (DefaultTableModel) jTable1.getModel();
        model.addRow(new Object[]{column1, column2});
    }
    @Override
    public void update(String[] row) {
        addRow(row[0], row[1]);
    }
}
Now, let's wrap everything and test:
public class Main {
    public static void main(String args[]) {
        /* Create and display the form */
        java.awt.EventQueue.invokeLater(new Runnable() {
            public void run() {
                Frame2 frame2 = new Frame2();
                Frame1 frame1 = new Frame1();
                // Register frame2 as an observer of frame1
                frame1.addObserver(frame2);
                frame1.setVisible(true);
                frame2.setVisible(true);
            }
        });
    }
}