If you install any Google application and there are many, etc. you end up with the google updater.
I bet you have installed at least one google application (Chrome perhaps) toolbar or service, etc. at some time, even when that application is uninstalled the google updater remains in place.
There is no add remove program entry for it so removal would be manual, if you know for sure you have no google products installed, I don't see a problem in removing it. At worst if you still had any google product they wouldn't update automatically.