Airport Limo Bus 6008 (Yeungdeungpo Station Line) to the Shinsegae Dept. Store stop. It's the second last stop and when you get off, walk in the opposite direction of the bus and hook a quick left towards the Times Square Shopping Mall. The Courtyard entrance will be roughly two-thirds way walking distance between the bus stop and the front entrance of the mall.

There's nothing really touristy around that area. The mall is perfectly fine if you're into doing mall stuff.