la classe start:
import javax.swing.JFrame;

public class Start {

	public static void main (String... args){

		JFrame frame = new JFrame();
		frame.setSize(300, 300);
		frame.setTitle("Faccina Bella");
		frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);

		Disegnamo disegna = new Disegnamo();
		frame.add(disegna);

		frame.setVisible(true);
	}
}

la classeDisegnamo :

import java.awt.Color;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.geom.Ellipse2D;
import java.awt.geom.Line2D;
import javax.swing.JComponent;

public class Disegnamo extends JComponent{

	public void ComponentiDisegno(Graphics g) {

		//creiamo una var. Graphics2D
		Graphics2D g2d = (Graphics2D) g;

		//elisse
		Ellipse2D.Double cerchio = new Ellipse2D.Double(5, 10, 100, 150);
		g2d.draw(cerchio);

		//occhi
		Ellipse2D.Double occhio1 = new Ellipse2D.Double(30, 70, 15, 15);
		g2d.setColor(Color.GREEN);
		g2d.fill(occhio1);

		//2° occhio
		Ellipse2D.Double occhio2 = new Ellipse2D.Double(80, 70, 15, 15);
		g2d.fill(occhio2);

		//bocca
		Line2D.Double bocca = new Line2D.Double(30, 110, 80, 110);
		g2d.setColor(Color.RED);
		g2d.fill(bocca);

		//saluto
		g2d.setColor(Color.BLUE);
		g2d.drawString("Ciao Bel Bimbo", 5, 175);
	}
}