Once you click that button, Yahoo! shows you a page to get your consent to share your email address with Google.
After you agree, you’re done and can start using any Google service, such as Google Groups, Docs, Reader, AdWords, etc. We have found that a much larger number of people complete the email verification process when this method is used.
In the future we hope to expand this feature to other email providers, and we also hope other website operators will read more on the
Google Code Blog about how they can implement a similar feature.
Posted by Eric Sachs, Senior Product Manager, Google Security