Google announced that it is working with GoDaddy and Demand Media's eNom on automated domain verification for Webmaster Tools and Google Apps.
For sites with domains whose records are managed by GoDaddy or eNom, users will see a new verification method that looks something like this:
"Selecting this method launches a pop-up window that asks you to log in to the provider using your existing account with them," explains product manager Anthony Chavez. "The first time you log in, you’ll be asked to authorize the provider to access the Google site verification service on your behalf. Next you’ll be asked to confirm that you wish to verify the domain. And that’s it! After a few seconds, your domain should be automatically verified and a confirmation message displayed."
Based on the comments on Google's announcement, it seems that people are pretty happy with the feature. So far, there's nothing but praise from users, other than a suggestion (or hope, rather) that more domain registrars are added.
Google does mention that Bluehost customers will be added in the near future, for this same kind of functionality. The company also says it looks forward to working with more partners, so we should be seeing this initiative greatly expanded upon.