Chamando pagina html atréves do Servlet - JAVA

import javax.servlet.*;
import javax.servlet.http.*;
import java.io.*;

public class GetServlet extends HttpServlet
{
  public void doGet(HttpServletRequest request,
                    HttpServletResponse response)
      throws ServletException,IOException
  {
    //PrintWriter output;

    response.setContentType("text/html");
    String pagina="http://www.pagina.com.br";
    response.sendRedirect(pagina);


    }
  }