Information on the internet is public information. I have googled my t's, both before I started seeing them and after. I think checking someone out on the internet before seeing them is quite common and not worth mentioning. After you are seeing them? Well, I still think it is public information, it's what they put out there for prospective clients, so it's fine to look. I don't think I should go ring their doorbells; that would be uncool. But looking them up online, why not?
And I have never discussed it with any of them.