Narsarsuaq is a village in Southern Greenland. The village is based around the airport, which was built in 1941 by the US military, but is now in commercial use. When arriving in Southern Greenland by international flight this will be your destination. Even though the village can be quite uncharming, most of the buildings being there just for the sake of the airport, the surrounding area has some spectacular sights.
First thing to do, when arriving, is to go to the Blue Ice Explorer Café/Tourist Office/Museum, where you will leave your bags and find out what to see/do. Remember that, like everything else in Greenland, the availability of transportation and sights depend extremely on the weather.
For easy trips you can climb the Signal Hill (Danish: Signalhøjen), which give you a beautiful view over the fjord. Else you can go to the harbour or the beach to watch icebergs sail by and hear them break. One official sight is the lone standing fireplace of a burned down to ground hospital north east of town.
The Inland ice is reachable within walking distance from Narsarsuaq. One follows the road to the burned down hospital and walk through the scenic Flower Valley (Danish: Blomsterdalen). An almost vertical 300 m climb, gets you to the beautiful view of the Narsarsuaq Glacier, and it is even possible to get quite close (though you have to keep a very long safety distance!!!). Aside for the climb, it is an easy walk (approx. 10 km), and the climb is possible for people with at reasonable condition, as the steepest parts are supported by ropes, you can hold on to. Guided tours can be arranged with the tourist office .
Hiking maps of the area makes longer trips possible, but beware that trails on the map are suggestive, meaning it may be possible to walk this route. Green trails are routes along roads which are easy and hard to get lost. Blue are fairly easy cross country paths. Red are difficult. Black route are extremely difficult and should be avoided if possible, even for very experienced hikers. The trail down from Nakkaalaaq, for example, is little more than over-steepened talus slope. Don't expect anything to be marked, nor that lakes and streams have the size indicated, as this varies throughout seasons. Beware the mosquitos and flies. Though not dangerous, they are quite a nuisance, so bring a net and lots of repellant.
Souvenirs and postcards are available at the hotel and at the tourist office. There is a Supermarket (Pilersuisoq), but it is easiest found by asking directions.
The grocery store does not sell much besides dried reindeer meat to eat while hiking or camping. If you want dried camping food you will need to bring it from outside Greenland
Fast food can be bought at the airport, and you can probably get a bun, coffee or cake at the tourist office.
A restaurant is situated in the hotel.
There's a small bar in the hotel that serves local beer (Tuborg) and various imported drinks along with some interesting cocktails. The general store also sells some alcoholic drinks.
Alcohol is expensive in Greenland, so it's worth bringing your own if you can.
To go see old Norse settlements arrange yourself a boattrip to either Qassiarsuk or Igaliku.