I applied through a recruiter. The process took 3 months. I interviewed at Google (Mountain View, CA) in Nov 2011
Interview
I had an initial phone screen with a product manager from another group. Then I had a series of face to face interviews with other product managers and with an engineering manager. These interviews consisted of real-world Google product manager problems and discussion of how I might attempt to understand those problems and resolve them.
A few weeks later I met with a manager and was asked similar questions about problem solving and another question about a product that I like to use, why I like to use it, and how I would improve it (other interviewers had asked this one too). Finally, again a few weeks later, I met with a Director and the process was repeated.
After the interviews were finished, the information was sent to a hiring committee and my candidacy was voted on.
Interview questions [1]
Question 1
You notice that adwords revenue for a certain word has dropped in Italy for the last 30 days. How do you go about determining why that has happened?
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.
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.
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.