When you pass an array to a method you are really passing a reference to
the array to the method.  So you don't really have to get the array back
since you still have the reference to it.  Your method can just modify
the array as I have done here.  Then you can access the array again with
the existing reference.  So you are correct, it is very simple, in fact
so simple that it is confusing :-).

import java.awt.*;
import java.awt.event.*;

public class test6 {
    public static void main(String[] args) {
        final int[] array = new int[10];

        Frame f = new Frame();
        f.addWindowListener(new WindowAdapter() {
            public void windowClosing(WindowEvent we) {
                System.exit(0);
            }
        });
        Button b = new Button("Press Me");
        b.addActionListener(new ActionListener() {
            public void actionPerformed(ActionEvent ae) {
                addOne(array);
                for (int i=0; i<array.length; i++)
                    System.out.println(array[i]);
            }
        });

        f.add(b);
        f.pack();
        f.setVisible(true);
    }

    static void addOne(int[] array) {
        for (int i=0; i<array.length; i++)
            array[i] += 1;
    }
}