Clicking on a drawn object

Never override paint() in JPanel rather paintComponent(..)

Im not quite sure I understand however I made a short example which I hope will help.
Basically it is a simple JFrame with a DrawingPanel (my own class which extends JPanel and the shapes are drawn on). This panel will create shapes (only 2 for testing) add them to an ArrayList and draw them to the JPanel via paintComponent(..) and a for loop, it also has a MouseAdapter to check for user mouseClicked(..) evnets on the JPanel. When a click is made we iterate through each Shape in the ArrayList and check whether the Shape contains the point or not, and if so prints its class name and uses instance of to check what type of Shape is clicked and prints appropriate message:

Output (after clicking both shapes):

Clicked a java.awt.geom.Rectangle2D$Double

Clicked a rectangle

Clicked a java.awt.geom.Ellipse2D$Double

Clicked a circle

ShapeClicker.java:

import java.awt.Dimension;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.Shape;
import java.awt.event.MouseAdapter;
import java.awt.event.MouseEvent;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Rectangle2D;
import java.util.ArrayList;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;

public class ShapeClicker {

    public ShapeClicker() {
        JFrame frame = new JFrame();
        frame.setTitle("Shape Clicker");
        frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        frame.setResizable(false);

        initComponents(frame);

        frame.pack();
        frame.setVisible(true);
    }

    public static void main(String[] args) {

        //create frame and components on EDT
        SwingUtilities.invokeLater(new Runnable() {
            @Override
            public void run() {
                new ShapeClicker();
            }
        });
    }

    private void initComponents(JFrame frame) {
        frame.add(new ShapePanel());
    }
}

//custom panel
class ShapePanel extends JPanel {

    private Shape rect = new Rectangle2D.Double(50, 100, 200, 100);
    private Shape cirlce = new Ellipse2D.Double(260, 100, 100, 100);
    private Dimension dim = new Dimension(450, 300);
    private final ArrayList<Shape> shapes;

    public ShapePanel() {
        shapes = new ArrayList<>();
        shapes.add(rect);
        shapes.add(cirlce);
        addMouseListener(new MouseAdapter() {
            @Override
            public void mouseClicked(MouseEvent me) {
                super.mouseClicked(me);
                for (Shape s : shapes) {
                    
                    if (s.contains(me.getPoint())) {//check if mouse is clicked within shape
                        
                        //we can either just print out the object class name
                        System.out.println("Clicked a "+s.getClass().getName());
                        
                        //or check the shape class we are dealing with using instance of with nested if
                        if (s instanceof Rectangle2D) {
                            System.out.println("Clicked a rectangle");
                        } else if (s instanceof Ellipse2D) {
                            System.out.println("Clicked a circle");
                        }
                        
                    }
                }
            }
        });
    }

    @Override
    protected void paintComponent(Graphics grphcs) {
        super.paintComponent(grphcs);
        Graphics2D g2d = (Graphics2D) grphcs;
        for (Shape s : shapes) {
            g2d.draw(s);
        }
    }

    @Override
    public Dimension getPreferredSize() {
        return dim;
    }
}