HOW TO: Search Google using the Google Web Service

Basic solution steps:

Download Google Web API Developer's Kit.
Create an account with Google to be assigned a unique license number.
Create the proxy class.
Call the Google web service via the doGoogleSearch() web method on the GoogleSearchService instance.
Extract search results from GoogleSearchResult returned from the web method.

Reference articles:

Grokking the Google API with VS.NET (or - Is ScreenScraping Dead?) by Peter Bromberg (EggHeadCafe.com)
ASP.NET web client for Google Web API by Milan (CodeProject.com)
Searching Google Using the Google Web Service by Scott Mitchell (4GuysFromRolla.com) - also demonstrates how to page Google search results.
Add Google Search to Your Site by Boris Feldman (Visual Studio Magazine) - shows how to implement a Google search user control and take advantage of the Cache object.
OmniSearch (Google Caching Engine) by Nick Berardi (CodeProject.com) - demonstrates how to implement a search engine which utilizes cached Google search results.