If you're looking for a different way to see and explore Jeju Island that isn't hopping on and off a bus or a self-drive around the island, I've got you covered in this blog post
A little known aspect of Jeju Island is its 425km worth of walking trails otherwise known as Jeju Olle Trails. That's right. You can actually explore Korea's most southern island by foot. Circling its coastline and cutting inland, you can take your pick of 26 different walking and hiking courses all across the the island, courtesy of Jeju Olle Foundation.