C# 2008
I have been working on this for a while now, and I am still confused about the use of finalize and dispose methods in code. My questions are below:
1) WebClient is a managed type, so you don't need a finalizer. The finalizer is needed in the case your users don't Dispose() of your NoGateway class and the native type (which is not collected by the GC) needs to be cleaned up after. In this case, if the user doesn't call Dispose(), the contained WebClient will be disposed by the GC right after the NoGateway does.
2) Indirectly yes, but you shouldn't have to worry about it. Your code is correct as stands and you cannot prevent your users from forgetting to Dispose() very easily.