Your law degree is an excellent entrance pathway. You'll work on contracts, be involved in lawsuits, and learn a ton about the game industry. After you've worked in the legal department for a couple years, you can wangle a move into production or studio management, and become a vice president. I've seen it happen more than once.
You'll be a decision maker. That's what most wannabes wanna be -- one of the guys who decides what games get made (among other things).
But if you don't want to start in legal, you'll have to look to your interests and abilities, and read about game jobs, and make a decision.