Curso de Servlets
Servlet's live

public class ServletLive extends HttpServlet {
private static final long serialVersionUID = 1L;
   
public ServletLive() {
 super();
 System.out.println("Constructor");
}

@Override
public void init() throws ServletException {
 System.out.println("Inicio");
 super.init();
}

@Override
public void service(ServletRequest arg0, ServletResponse arg1)
 throws ServletException, IOException {
 System.out.println("Service");
 super.service(arg0, arg1);
}

protected void doGet(HttpServletRequest request, HttpServletResponse response) throws ServletException, IOException {
 System.out.println("doGet");
 destroy();
}

protected void doPost(HttpServletRequest request, HttpServletResponse response) throws ServletException, IOException {
 // TODO Auto-generated method stub
}

@Override
public void destroy() {
 super.destroy();
 System.out.println("Fin");
}
}

Salida:
Constructor
Inicio
Service
doGet
Fin