Tasmania holds a lot of heritage and culture with a number of spectacular buildings to see in Hobart. Macquarie Street hosts some splendid Georgian buildings, and the Theatre Royal on Campell Street is the oldest theatre in Australia. Runnymede in New Town also hosts some colonial buildings ranging from the 1830's, open everyday 10.00am - 4.20pm.
It is also worth taking a look at Parliament House and nearby St. Davids Park, as well as the Royal Tasmanian Botanic Gardens next to Tasman Bridge.
There are a range of museums in Hobart including the Allport Library and Museum of Fine Arts, the State Library hosting a number of rare books, the Lady Franklin Gallery, Moorilla Museum of Antiques, the Maritime Museum of Tasmania giving the history of Hobart's Shipping industry and the Tasmanian Transport Museum. the Tasmanian Museum of Art hosts some wonderful displays of colonial art and relics. It is open 10.00am - 5.00pm everyday and you can join a tour at 2.30pm from Wednesday - Sunday.
You can also visit Cascade Brewery, Australia's oldest brewery, and join the tour at 9.30am or 1.00pm.
Hobart offers lively entertainment and often bands in the evening, with the main areas to go out being Elizabeth Street, Salamanca Place and Sandy Bay.
There are a number of tours you can join in Tasmania both by bus or by ferry depending on what you want to see. From a harbour cruise including a meal to a range of bus tours visiting a range of places.