What I really enjoy about living in Korea is being able to meet new people through a wide variety of venues, and from that, gain new friendships. You can meet other foreigners through your school, through the local foreigner hangouts, or even through an International Center. Once you make a few friends, you'd be surprised to find the other connections that exist. The people you meet know other people, and they know other people, and from there, you can stand to gain a good-sized network.
So don't be shy--you just might be surprised how much you have in common with fellow ex-pats in your area!