I am thinking WTF. I wasn't even the one interested in the position, is this level of unprofessionalism common with Google?
Sorry don't mean to derail the comments, but it just kind of left me with a bad taste in my mouth. And then seeing Google as first comment on HN hiring, kind of brought that back to my mind.
The idea of working at Google is interesting, but I don't really have the months to invest in the interview process.
How do you find an internal advocate? Start networking. Find people at Google with common interests or backgrounds as you. Then send me a cold email introducing yourself. It will take a few months to develop a relationship where somebody will happily send that email to HR for you, so start a few months before you are planning to submit job applications.