An article in The Washington Post, was apparently taken to task by Google’s lawyers.
Appropriate: He ego-surfs on the Google search engine to see if he’s listed in the results.
Inappropriate: He googles himself.
Appropriate: I ran a Google search to check out that guy from the party.
Inappropriate: I googled that hottie.
[Update 2013] NBC has an interesting article here: No Googling, says Google — unless you really mean it.
[Update 2021] There’s a fun video about this from 2021: Why Google Doesn’t Want You to Say You “Googled Something”.