Are Sawgrass Country Club and TPC Sawgrass the same community?

They're widely considered one overall community that goes by the Sawgrass name, even though they're technically two separate, sister communities split by A1A. Sawgrass Country Club sits east of A1A; Sawgrass Players Club, built around TPC Sawgrass, sits west of A1A. Each has its own HOA and club membership, but most buyers and residents think of the two together as Sawgrass.

Yes, on both sides. Sawgrass Country Club has controlled access at its entrances, and Sawgrass Players Club has two guard-gated, 24-hour manned entrances.

Where is The Players Championship played?

The Players Championship is played on the Stadium Course at TPC Sawgrass, inside Sawgrass Players Club west of A1A. Sawgrass Country Club, on the east side, hosted the tournament's forerunner, the Tournament Players Championship, from 1977 to 1981, before it moved across A1A to what is now TPC Sawgrass.