I just read a comment by an author who said that she never googled her name.
This is not the case with me. I google my own name, and my pen name, oh I don't know, whenever I'm bored and remember to. Every few weeks.
It's fun. Sure you might encounter a reader who didn't love your work, but on the other hand you might encounter a reader who did.
Today, for instance, I found out that GoodReads reviews short stories published free on the internet. And that someone had been engaged enough by my Nature story to post a rating. And that I have a GoodReads fan. Now that's fun.
I've googled my name and found meh reviews of my works.
But a good way of thinking about it is that once the work is published it belongs to the reader, explained here by Jay Lake.
What about you, reader? Do you admit to googling your name? There's no shame! Do you seek out response to your stories, or would you rather not know?