I, too, have looked up my T on the Internet.
One day during our session I noticed she was no longer wearing her wedding ring. After our appointment I turned to the Internet to confirm my suspicions (hyphenated last name was changed to just maiden name). For a while, I felt like I wasn't supposed to know about her divorce (though it was pretty obvious), and it made talking about my own relationships uncomfortable. A while later, she gave me a new business card with only her maiden name, and I felt like she could assume I knew, even if she didn't directly tell me.
But yes. I get curious. She knows all about my life and I know zero about hers. But I guess that's the point, so I try my best to avoid pursuing my curiosity about her life outside her office.