1. Go to a baseball game. They are way more exciting and fun then in America
2. There are so many cool food places. Korean BBq spots all over the place and lots of friend chicken. We even went to a Michelin restaurant that was really affordable.
3. They have some really cool temples and you can take a day just touring those and watching the changing of the guard.
4. There is a fountain bridge that is cool to watch at night. It plays to music.
5. Go to a jimjillbang. It’s a Korean bath house and they are super relaxing. Especially when you land from a long trip. There is some same sex nudity but it’s not a big deal.
6. Go to the library by the Gangam style statue

Let me know if you have any other questions!