Wellington is the capital of New Zealand and resides on the southwest corner of the north island, on the beach of Cook Bay which separates the north and south islands from each other. With about 450,000 people, Wellington area is the third-most populous in New Zealand, with the city area itself being home to about 180,000 people, not to mention a wide selection of Wellington hostels.
Wellington is often referred to as the art & culture capital of New Zealand. The i-Site visitor information centre at Civic Square is a good source of information about all the sights and activities around the city. Your Wellington hostel's reception person should also have activities to recommend.
Wellington is served by an airport and hosts the ferry service to the city of Picton in the south island, which is a very common way to travel between islands, especially if you have your own car (or a rental). There is also a good choice of bus services and passes connecting to other cities in the north island.
Hostels in Wellington are a bit scattered around but almost all of them are in the inner city area. The quality of Wellington hostels is generally very good, as in most other places in New Zealand.
Eating out in Wellington is a good choice: the options are more than plentiful, the quality is good and the prices are reasonable. The Botanic Gardens is also something to see, maybe for a sunny day stroll or a picnic. The city also has a vibrant nightlife if you feel like going out for some before you return to your Wellington hostel.