Your mistake is adding the url in the sample as a Service reference, instead of adding the proxy class which you can get from Microsoft. If you're looking at the same bing API tutorial I am, it says above the code sample:
Creating a .NET Framework C# application is pretty easy. Most of the work that you need to do is handled for you by the Microsoft .NET Framework C# Service Proxy Class Library. You can download the service proxy for the Bing Search API by clicking the following link: https://datamarket.azure.com/dataset/explore/getproxy/5ba839f1-12ce-4cce-bf57-a49d98d29a44.
So, you need to download the proxy class and use that, not add the bing api as a service reference. Once you add the proxy class to your project, the sample will find the bingContainer.Web
method and compile just fine:
Hopefully this also goes without saying, but you'll need a valid account key - NetworkCredential("AccountKey", "AccountKey");
isn't going to cut it.