The only thing you need to get used to with French roulette is the alternative layout and a few different naming conventions. If you've played roulette before, you'll be familiar with all the different types of bets and their payouts already. Notice how both of the wheels are exactly the same (you can't see it from these screenshots, but trust me) the only difference is in the layout of the betting area: Here are screenshots of a French roulette table and a European roulette table. The only reason they call it 'French' is because they have added the racetrack bets on the side. This just goes to show how European and French roulette are the same on a structural level. Note: Some online casinos offer a 'French roulette' table, yet they keep the same table layout as the European tables. This betting area can occasionally be found on European tables, but it's native to the French version of roulette. The main addition to most French roulette tables is the racetrack betting area.
For example, the first 'dozen' bet is referred to as 'P-12', which stands for 'Première 12' or 'the first 12' in English. Most of the outside bets have also been renamed to their French alternative, but they all work in exactly the same way. Honestly, if you just took a European roulette table and shifted the placement of a few of the betting areas around you would be left with French roulette.
French roulette is essentially European roulette with a different table layout.