The best way to do this is through someone that knows your work intimately and works at Google. On the referral form is a question for "How well do you know this person?", and if I submit a resume, I'm going to answer truthfully and say "Not at all". This will give you a slight bonus over submitting a resume "over the transom", but nowhere near as much as if you can get someone who says "I worked with this person for X years, he's awesome, definitely hire him".
If you don't know anyone that can give you that sort of recommendation, shoot me an email (my address is in my profile) with your resume attached, and I'll submit it for you. I'll also need to know which position you're applying for (from the external job application site - though the referral form actually has slightly different titles), and which location you want to work at.