How to read servlet response in Sling Model

I've a servlet written in AEM using Sling ResourceTypes which returns some response. 

And the path  http://localhostL4502/content/example/testpage.productsjson.html is giving the servlet response when I hit through browser. Now I would like to read the same json response in sling Model. How can I call the servlet in sling model. Any example code snippet will be helpful. 

sample servlet: 

@Component(service=Servlet.class,
        property={
                Constants.SERVICE_DESCRIPTION + "=Simple Demo Servlet",
                "sling.servlet.methods=" + HttpConstants.METHOD_GET,
                "sling.servlet.resourceTypes="+ "exampe/components/structure/page",
                "sling.servlet.extensions=" + "productsjson",
        })
public class SampleServlet extends SlingSafeMethodsServlet {
    @Override
    protected void doGet(SlingHttpServletRequest request, SlingHttpServletResponse response)throws IOException
    {
        response.getWriter().write("Welcome to the Products Servlet!");
    }
}