The National Gallery provides for excellent exhibits of national and international art.
The Old Parliament House and Portrait Gallery really is worth a look. Always an interesting exhibit around.
Civic provides for excellent outdoor dining.
Quick Tips:
Stay at the youth hostel on Dryandra St in O'Connor. It is nestled in a sanctury of bushland and is very convenient to the city. Bus stop is right out the front and taxi ride not more than .
Best Way To Get Around:
Taxis are pretty cheap . . . buses not so good. Can walk, but only for medium amounts of time.