A laaame joke gets made. I think "googling Google" may be the new "why do you park on a driveway but drive on a parkway" or "I removed the tag that says 'not to be removed under penalty of law'".
What does happen when you google "Google"? Google touts itself, giving you links to its homepage and its various services, followed by links to webpages that mention Google. It's no more dangerous-feedback-inducing than thinking about your brain or compiling a table of contents that starts "Table of contents --- p. 1". THINK, people!