You can spend time studying the exhibits at Samsung D’Light in Seoul. Amble around this culturally rich area's riverfront and enjoy its charming cafes.
If you want to see a show while you're in town, try and grab some tickets at Seoul Arts Center in Seocho-gu. Why not take a stroll along the riverfront and watch the sunset while you're here? It's also full of great shops and restaurants, so you can spend the afternoon having a wander. If you enjoy the show and want to see another, Jayu Theater is just a short walk away.