You cannot take a car into Seonyu Island because it has not been contaminated. So the most recommended transportation is bicycle. The island is not large in size and there are no steep slopes. It takes about 2 hours to go round on foot. You can also search around other islands which are connected with Seonyu Island by small bridges. It takes about 2 or 3 hours to go round other islands by bicycle. Rental fee are also cheap.
Also note there are NO BANKS OR ATM'S ON THE ISLANDS. Bring all the cash you need before departing from the mainland. Only a handful of restaurants and stores accept debit/credit cards.