Yes, EA's giving away Bullfrog's 1997 title Theme Hospital this month, which is a "business simulation" game in the same way Anchorman is about the day-to-day proceedings of a local news station. Taken from Origin: "In real life, disease isn't a laughing matter. In Theme Hospital, it's hilarious."
No, this has nothing to do with Patch Adams. Instead, you'll be building a hospital from the ground up in order to cure silly diseases like "Bloaty Head" and "Hairyitis."
Like previous "On the House" promotions, you'll need an Origin account to take advantage. Then again, if you've played any EA games on PC recently you probably already have one of those. And hey, free games right No telling how long the deal will last, though a month is a safe bet.