Gotcha. I'd take a little time and do the Google tutorials and go through some of videos that have been put out by Google and others on this topic. Years back I built a marketing platform that would manage people's ads across Facebook, Google amongst others and help them deal with the remarketing and retargeting spend. Our whole team learned a lot from going back through the Google tutorials and videos, even the people who had been doing it for years. Not that those resources are everything, but if you are starting without a lot of background knowledge it will help you get up to speed quick.
Facebook is similar, go through the examples and tutorials they have. In our case, we learned Facebook ads garnered the most clicks/traffic but had the worst conversion rates of almost every other medium we used. But for games that might not be the case, I'd still guess the conversion off Facebook is going to be lower than others but it maybe better than for services and even ecommerce.
One of the things we figured out was a lot can be learned by what Google/Facebook etc don't say in their documentation/tutorials as much as what they do. Also make sure you pay a lot of attention to the landing pages as SEO is not dead. Landing pages for ads are critical to conversion and ranking IME.
Good luck in the new role! Sounds fun and exciting, as well as maybe a bit terrifying. :)