Only the baggage claim stands between you and the 'Fresh' air of Korea.
Half an hour later, you are standing outside the airport, clueless about how to get to your hotel.
Let's be honest, we've all been there.... Frustrated in the middle of 'strange' country, not knowing what to do...
Lucky for you, there are multiple transportation options for you to choose from to get to Seoul from the airport, assuming you are in Incheon Int'l airport (If you arrive through Kimpo airport, you are in luck because the airport is actually located in Seoul and you could probably just take a taxi to your location).
If you are willing to spend about 40~50 dollars(from the airport to City Hall), you could just hop in a taxi but beware, there are two types of taxis in Korea; the black ones and the 'other' colored ones. Black cabs cost a lot more than the normal ones and I personally don't recommend them. They're just more luxurious cars and that's about all the difference.
Subway is another option and you could take a look at the map below to find how to get to your location from the airport. Give about 3 minutes between every stop.
http://www.seoulmetro.co.kr/
Subway tickets cost from 1,500 KRW to 2,000 KRW depending where you are going. This includes 500 KRW deposit which you could get back once you return the card. Each station has a machine which gives back your deposit. (TIP: If you're planning on taking subway around for the rest of your trip, it might be wiser to purchase T-money card. This card is rechargeable and you also get 10% off all your trips when using this t-money cards)
Last option is the bus. There are multiple bus options for many different routes and they are perhaps the most convenient. You can find the bus stops when you exit the airport.
Welcome to Korea!!!!