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Photo: Brett Taylor from Wellington, New Zealand, CC BY 2.0 via Wikimedia Commons
From Lambton Quay (next to the McDonald's). The easiest way to get a nice view of the city and harbour, the Cable Car runs on rails from Lambton Quay to the Botanic Garden in Kelburn every ten minutes.
The Wellington Cable Car is a funicular railway in Wellington, New Zealand. The route is between Lambton Quay, the main shopping street in the central city, and Kelburn, a suburb in the hills overlooking the central city and Wellington Harbour. The cable car route rises 120 m (394 ft) over a length of 609 m (1,998 ft).
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Wellington Central Library
Wellington's main library with free wifi and computers, printing and photocopying, and a makerspace and recording studio. On the bottom floor is the Central Ground cafe offering hot drinks and baked goods.
Watch out for the friendly black cat who haunts this hillside cemetery. If you're returning from the Botanic Gardens by foot, this is a great place to meander through and check out the epitaphs of early pioneers and historical figures. Between 1968 and 1971, over 3700 bodies were controversially exhumed to make way for motorway construction; their remains are now in an underground vault below the Early Settlers Memorial Lawn. At the Bolton Street entrance, the former mortuary chapel, reconstructed after the motorway, has information on the cemetery history and guide leaflets if you want to explore further.
formerly Museum of Wellington City & Sea
A well-presented museum of the history of Wellington, including its maritime history.
Runs a consistently avant-garde set of exhibits, with no permanent collection. In it's usual location has an excellent café, Nikau, attached to it.