I'm surprised Tripadvisor had no reviews about this place and well getting information about this place was quite difficult. You can try the Ulleung Island main page for some information: http://www.ulleung.go.kr/English/.
Anyway, I spent about '2' days there. Took a ferry from Mukho Passenger Terminal at Donghae on 13 July 2012. With the grace of God, I reached the terminal on time as the only ferry departed at 0820am [Ticket price: 55,500won] (I had no clue about this timing since everywhere in the internet kept stating that ferries from Mukho depart at either 9 or 10am). If you have the luxury of a phone or the knowledge of Korean, please do call in a day before to check the ferry schedule and ferry ticket prices. Also, there was only one ferry back from Ulleung to Mukho, at 1250pm [Ticket price: 54,000won].
The ferry was humongous and pretty comfortable, but it was also the first time I felt like puking on a boat ride, so be warned. It's a 3hr 40min ride approximately.
Upon reaching the island, the first thing I saw was the staircase to the entrance to the Haengnam seaside walk on the right. Anyway, I had every intention to first find the tourist information booth that was supposed to be near the harbour (took me one hr and half and asking another 2 lost tourists before I finally found the place). When you look at the map of the town, there would be 3 parallel streets leading into the island. Walk towards the leftmost area and past the last street to the far left end of the harbour, that is where you'd find the tourist information booth. Note, the two people I spoke to hardly understood English, so be prepared as well. But they were extremely helpful!! Get your English maps and information booklet there.
There are a variety of accommodations there. Due to my small budget, I chose a homestay sort of place [35,000won per night]. It was very homely, clean and near the harbour. I got this homestay through the tourist information booth personnel.
After which, my exploration of this island began. I took only two modes of transport: public bus and walking. The buses took me along the coastal road, the seaside scene was beautiful. Visited the towns: Taeha, Hyeonpo, Cheonbu and Jeodong.
Places: Nari basin (by sitting on a random bus, haha), some famous rocks in the sea, Jeodong port, Haengnam seaside walk.
If you would like to hike up to the Seonginbong Peak, there are road signs albeit not obvious at times along the road up from the Dodong harbour. I didn't get the chance to due to lack of time.
Also, just a warning. Try not to visit Ulleung Island during the mid of the year (monsoon season). I saw ALOT of mist and crazy, rough waves [one even engulfed the bus I was sitting on while we were travelling along the coastal road]. But the island was still beautiful no doubt despite such conditions.
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