I applied through an employee referral. The process took 4 weeks. I interviewed at Google (Kirkland, WA) in Jul 2013
Interview
You will have a phone screen with a recruiter, then a phone interview with a current Product Manager at Google, and then onsite. The initial phone screen is easy- the phone interview with a current PM is much more challenging. Come prepared knowing about Google's products, possible improvements, and a go to market plan for your proposed product or feature.
Interview questions [1]
Question 1
How much would it cost to implement a product improvement for the entire US?
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.