It's hard to say something generally applicable to Korean Zen. In the West the one school that is well known is Kwan Um and my understanding is that it is very similar to Japanese Rinzai, though of course it has a distinct liturgy and a special organisational structure.
In Korea, the main order is Jogye order where monks and nuns take vows that are practically the same as the Southern Buddhist (Theravada) monastics. So they are celibate and generally don't take on paid employment but live in temples or hermitages and engage in either religious or social work.
The style of Zen that is most practiced is what Koreans call hwa-du (Chinese: hua-tou) or "head of speech". It is the punch line of a koan, like "No" for Joshu's Mu or one taught by Kusan Sunim - "what is this?"
There are some great books like The Way of Korean Zen and The Zen Monastic Experience. Back in the 70ies, there was a vibrant scene for Western Zen monastics in Korea. Folks like Stephen Batchelor, his future wife Martine, Robert Buswell Jn were at Ssongwan-Sa, one of the main temples. At the moment there are still some Western monks and nuns in Korea. One is Chong-go Sunim, who has a group in Seoul, I believe, and who used to post occasionally on the old E-Sangha. A good man, I hear and worth contacting if you are in the vicinity.
This video is a bit monotone but informative:
This website has some good stuff:http://koreanbuddhism.net/