As Ben said, you are POSTing your request ( HttpMethod.Post specified in your code )
The querystring (get) parameters included in your url probably will not do anything.
Try this:
string url = "http://myserver/method";
string content = "param1=1¶m2=2";
HttpClientHandler handler = new HttpClientHandler();
HttpClient httpClient = new HttpClient(handler);
HttpRequestMessage request = new HttpRequestMessage(HttpMethod.Post, url);
HttpResponseMessage response = await httpClient.SendAsync(request,content);
HTH,
bovako