I agree with Paula and also completely understand why you feel the way you feel. There is nothing to be ashamed of about it. Therapy situation is unusual and the therapist-client relationship is condensed with many intense dynamics that no other relationship has. Therefore, one can't expect to have the feeling people usually have when they find out about the addition to the family of their friend, relative or co-worker. It's perfectly normal that this is an upsetting discovery for you.

I would talk to your T about what you found out and how it makes you feel. His reaction and how he decided to deal with it would tell you a lot about him and his competence as a therapist. It's a scary thing to do, but not to do it makes no sense because if you are not open with the therapist, it negates the whole purpose of therapy. It's scary to think what he would think of you, but if he is a decent person and a competent professional, he will not only not think badly of you but will appreciate your honesty. There is nothing in what you did to be ashamed of. You didn't do anything illegal by googling his name. You just wanted to feel the connection. It's not a crime. You are certainly not a loser.