So living in/visiting Korea would just not be complete without a trip to the massive shopping district that is Myeong-dong.
Of course you've got to also see Yangsan Electronics market to pick up some cheap technological, Seoul Tower (we are still to go!!) and a host of the other awesome cool markets like Insadong for traditional Korean souvenirs,Namdaemun & Dongdaemun as well as Hongdae for a bit of a student vibe and cheap & funky places to eat...but really...if you only can go to one place for your shopping, go to Myeongdong!
Why not make a few days of your explorations of Seoul. Here are some great backpackers to stay at:
Blu Guest House close to Hongdae
Hong Guest House in the Seogyo-dong area
Banana Backpackers in near Insadong and their other location near Namdaemun
1. From Exit No. 5 of Euljiro Ipgu Subway Station (Seoul Subway Line No. 2), walk 10 minutes.
2. From Exit No. 5, 6, 7, or 8 of Myeong-dong Subway Station (Seoul Subway Line 4), walk 5 minutes