The Wellington Botanic Garden and the City to Sea pedestrian bridge are two nearly free places to visit in Wellington. Actually, if you don’t care to walk up a very steep hill, then the best way to reach the Wellington Botanic Garden from the central business district is by cable car. It will cost you $5 one way, but hey, the view at the top of the hill is spectacular (well worth $5), and the hill is Really Steep.
The walk down the hill on which the Botanic Garden is perched is steep, tranquil and very green. There are many sections to the garden, including a fern garden, a succulent garden, a rose garden, and sections devoted to native plants. And if you follow the Orange Path through the garden, you will go through the Old Burial Ground, which has some very interesting monuments, including a naked guy right at the top of the hill.
The original purpose of the garden when it was started in 1868 was to serve as a trial garden to test out imported plants to see whether they could be grown as crops in New Zealand. Thus the garden began with plantings of conifers.
I wish I could tell you the botanical or even common names of the plants above, but there are no labels or identifying signs.
The photo above is of the Peace Garden, with an eternal flame in the pagoda shaped ornament in the middle of the pond.
The City to Sea Bridge, seen across the Whairepo Lagoon, looks from some angles like a patched together bunch of old weathered wood. It is a sculpture acting as a platform for other sculptures and artworks, in addition to reconnecting people to their harbor.