Anywhere from $5,000 to just under $20,000 from my understanding. It really depends on the extend of the work needed done. As for recovery, you are looking at a minimum of a 2 week stay in Korea. I would plan for 3 or 4 weeks though if you need a more complex surgery.
Recovery time outside of post-surgery stuff will be 4 to 6 weeks for the resting period (no strenuous activities or exercise) and then 6 months to a year on average for full recovery. Some take a bit over a year.