Does PlayStation have free games every month?
More often than not, you'll have three games to try out with each month's drop - which covers both PS5 and PS4 (so you're still set if you haven't jumped into the latest generation yet) - though sometimes we see some curveballs in the form of one or two fewer or more games.
Does PlayStation Extra get new games every month?
New Extra / Premium games will be available in the middle of the month, while Essential tier games available on the first Tuesday of the month.