It's guaranteed to be irrelevant if he's not breaching stalking or harassment laws.
As much as you think he needs to get over you, you need to get over the need to have some control over him now that you're apart. You cannot be sure of what he will do, but you can spend an awful lot of time worrying about it, instead of moving on. Don't do that.
Instead, look inside, really ask yourself why you can't let go of thinking about him, and just work on whatever's keeping you from moving forward. Perhaps, someday, you'll even fire up google, and see where he's at yourself.
If my ex is not over me, then is it almost guaranteed that he will consistently Google my name and look at my Facebook?