I applied through a recruiter. The process took 5 days. I interviewed at Google (Mountain View, CA) in Sep 2015
Interview
First you work with a recruiter who decides whether to put you through to the next round. Next you have a phone interview, where a current Product Manager begins by asking several questions. Why Product Manager, why Google, etc. Then you are given several case questions. These questoins can be oddly specific and stump even the best efforts to prepare. No feedback is given.
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.