Here are some questions you can ask them:
What does your day to day look like?
What level of technical skills is required?
What do engineer managers do?
what level of science is needed?
What level of research is done by the PMs?
Who do the PMs report to?
What is the difference between the project and product managers there?
Do people move around in their roles?
Are PMs working with researchers and if so in what capacity?
What are the metrics that PMs are graded on?
What is the culture like?
How often are papers read?
What level of depth is needed for the science and research papers?