Take the bus to Ingu from either Gangneung or Sokcho.Its relatively easy to get to Jukdo, if you travelling the closest big city is Gangneung or Sockcho, just go to the bus terminal and ask for a bus ticket to Ingu. When you get off there are two bays divided by a big hill/mountain with a temple on it. Jukdo is the one on the west side of the left side of the hill, the other side is Ingu beach, actually both bays can get fun beachbreaks.
It is a very small village so the only crowds you will experience are the local villagers standing on the beach being fascinated by the "Wegookin" (foreigner) in the waves. There are plenty of spots along this stretch of coastline and to explore them you can catch the 322 shuttle bus which stops at all the bays.
Overview
Atmosphere
Try the restaurants on the beachfront for raw squid and Korean delicacies..if you want to stay for the night in the village ask for a "Mimbak" which is usually a family owned floor where you can sleep with a thin matress for a dollar.