If searching for your name finds only you, flood it with awesome stuff that will make employers happy. The more good stuff you have, the less likely anything embarrassing will be visible or picked up on.
You're easy to find, so take advantage
Imagine if your name was John Smith -- sure you have the anonymity, but nobody will ever be able to find anything about you unless you are 600 times more excellent than every other John Smith who ever lived.
If you're really the only person in the world with your name (which is incredible), then you have the perfect opportunity to run with that. You know that your employers will google you. If you make a page about you, for you, that actually links to all the important stuff, you know that the employer will probably find it and read it. You can sell yourself on that page any way you'd like -- it's like getting a second free cover letter for any job you apply to.
What are they Googling for?
The people googling your name are going to be HR people, or prospective bosses/colleagues who are trying to vet you. Yes, part of that is making sure that the first result for your name doesn't pop up racist tweets, pornographic photos, or a news article talking about your arrest for distribution of narcotics, but part of it is also seeing if you are a person they are interested in hiring.
If Seth Godin applies for a job at my company and I Google him -- do you think I'll search through 10 pages looking for dirt, or read a couple of his blog posts and get excited about what he's written? Do you think I'll ask him about that typo he has on his LinkedIn profile, or about the stuff he's written about?
Because of the way the internet works (as I understand it), the quicker you get stuff out there, the sooner stuff will start working special internet mojo-magic and appear when people look for you. Start tossing stuff up. Expand some of your SO posts into longer blog entries. Or toss some of your photos up online. Grab some of those papers you've written, or projects you've done, or programs you've finished and toss them on a page somewhere.
That way, when people dig through the internet looking for you, not only will they definitely find something, but it will be the things you want them to find.