I applied online. The process took 1+ week. I interviewed at Google in May 2010
Interview
I was contacted by the recruiter and went through the initial screening process. After which I completed two telephonic interviews with existing Product Managers at Google. The interviewers were polite and ultimately felt that I was over qualified for the role I was looking for. Questions were mostly subjective in nature and were less technical. They were trying to get a feel of my understanding of Google's business and whether I could analyze situations and come up with strategic suggestions on the problem presented.
Interview questions [2]
Question 1
Where do you see Google in the mobile space with Android
Very self-driven, first of multiple rounds, where I had to take the initiative to arrive at the problem, constraints, approach, solutions, tradeoffs and reasoning behind it in a matter of 30 minutes.
Overall a lot of steps to the interview process. Talked to different people and had opportunities to ask questions. Many different stages which made it a lengthy process overall. Wasn't too bad.
You would have to do a hiring assessment first, then a recruiter screening follows. First round interview with the hiring manager. Majorly product sense and product improvement. The questions were not direct though.