The thicker the carpet pile the slower the action will be. The action is greatly speeded up and falls are quite unforgiving. Up close to a wall or holding some ones hands is recommended. It is highly recommended that safety gear be worn to help soften the inevitable falls. Wrist guards are the best protection, along with helmet, knee and elbow pads.
Most surfers prefer to go barefoot, because that's how they surf.
It 's up to the rider to determine if shoes are right for them. I personally ride barefoot but wear shoes on occasion. Make sure the area you are going to ride in is clear of objects that you might fall upon. The board can become a missile and cause injury should it hit someone.