The Korean Federation of Kettlebell Listing is sponsoring tours for participants in the world championships. These are not free, but they do look very interesting (especially the tour to the DMZ).
Click here to see the tour listings. http://kfkl.co.kr/city-tour-2/
Ancient Palace Tour (US$85 per person)
Gyeongbokgung Palace & Seoul City tour (US$70 per person)
Gyeongbokgung Palace Tour (Morning/Afternoon) (US$58 per person)
DMZ Tour (you can see into North Korea from this tour) (US$72 per person)
Changdeokgung Palace Tour (Morning/Afternoon) (US$68 per person)
Seoul Night View Tour (US$68 per person)
Seoul Night View & ITAEWON Street Tour (US$54 per person)
Seoul Night View Temple & LOTTE SKY Lounge (US$77 per person)
Seoul Night View (US$54 per person)