You won't have to go far in South Korea before you see a set up similar to the one pictured above. This is 갈비 (Gahlby).
At such restaurants in South Korea, prices are structured for parties of two or more. In other words, if you try to eat there alone, you'll provided with enough food for a minimal of two people, and you will be charged accordingly.
Once you place your order, just sit still. They'll bring out all the food. Usually, refills of all the side dishes are available for no extra charge. Sometimes, the restaurant will have a "self-service" set up where you can refill stuff yourself.