You are using an old version of the library.
The latest NuGet package is available in: http://www.nuget.org/packages/Google.Apis.Bigquery.v2/
Take a look in our samples repository for samples on Google APIs (Unfortunately, we don't have a sample for BigQuery)
You should also take a look in our Getting Started guide and to be more specific in the OAuth 2.0 page.
Good luck!
[UPDATE] We improved the OAuth 2.0 library significantly. Take a look in our blog announcement from October 2013 - http://google-api-dotnet-client.blogspot.com/2013/10/announcing-release-of-160-beta-new.html. In the OAuth 2.0 page I mentioned above there are the exact details of how to set your application to work with Google authorization. The library supports the OAuth 2.0 flows in Windows Phone, Windows 8 application and regular .NET 4.0 and higher.