Redirecting a request using servlets and the "setHeader" method not working

As you can see, the response is still HTTP/1.1 200 OK. To indicate a redirect, you need to send back a 302 status code:

response.setStatus(HttpServletResponse.SC_FOUND); // SC_FOUND = 302

Oh no no! That's not how you redirect. It's far more simpler:

public class ModHelloWorld extends HttpServlet{
    public void doGet(HttpServletRequest request, HttpServletResponse response) throws IOException{
        response.sendRedirect("http://www.google.com");
    }
}

Also, it's a bad practice to write HTML code within a servlet. You should consider putting all that markup into a JSP and invoking the JSP using:

response.sendRedirect("/path/to/mynewpage.jsp");

Alternatively, you could try the following,

resp.setStatus(301);
resp.setHeader("Location", "index.jsp");
resp.setHeader("Connection", "close");