You can study the exhibits at Korea Furniture Museum, a museum with a story of its own, during your trip to Seoul. Check out the shops and top-notch restaurants in this culturally rich area.
If you'd like to get a taste of Seoul student life, check out Sungkyunkwan University in Jongno-gu. It's also full of great shops and restaurants, so you can spend the afternoon having a wander. Seoul has other landmarks you might want to visit such as Gyeongbokgung Palace.