If you're eager to add a little more culture to your getaway, put Hanseong Baekje Museum on your itinerary. See if guided tours are available or simply roam around at your own speed.
You'll find this museum in Songpa-gu. Once you've seen everything you can at Hanseong Baekje Museum, have a look at nearby Seoul Olympic Stadium, Seonjeongneung Royal Tombs, and Jamsil Baseball Stadium.