If you'd like to get a taste of Seoul student life, check out Korea University in Seongbuk-gu. Our travelers also like this historical area for its riverfront setting. 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.
Jongno-gu is home to Cheonggyecheon, so why not stop by during your stay in Seoul.