Took ages after I applied, but they finally contacted me and set up a phone interview. There was a very nice guy who sort of coordinated the whole process online. I spent a lot of time studying, thinking about product design, reading about the company and its competitors. The phone interview was mainly about product design, which google products do I like and why, And some questions about my background, like what work was I most proud of. Then I was invited for an on-site interview. I did a lot of studying again, to be able to talk about basic computer science concepts and algorithms. There were four interviewers and one lunch buddy who provided a more informal interview. Everyone was extremely nice, and very interesting. The questions were some of the typical ones (testing ability to estimate values) and some more product design ones. The engineer interview was fun, we talked about data. But, I didn't get an offer, and I was very disappointed I still really enjoyed the experience and found it very interesting and positive.

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.