I have seen a google bot of some sort in logged in. I don't mind a bit if you are also doing a google+ feed or the like, but it would be nice to know where it is going!
Re: google
Googlebot is an automated crawler that reads webpages for Google. Personally, I love Googlebot and the other search bots. My website shows up on the first page of Google search on some of the most odd strings. We even have a page that shows up as the third link on google.scholar.
Re: google
Yep, this site is visited by the google RSS agent and googlebot.