Most of the Museum is dedicated to temporary exhbits by Taiwanese artists but a small permanent collection is upstairs. Great way to spend an rainy morning or afternoon. Due to construction (2009) the way to get their is a little convoluted but the way is well marked.
I like art and culture so this is an inexpensive way NT30 to view old chinese paintings, pottery and of course new exhibits from all over the world. When I was there they showcased multi-media installations- I was amazing- and phtography from Australians. Of course there are much more see there. There's even a few computers on the first level to log-on and the museum is situated next to a park so you can enjoy a walk too.
It is usually very empty (on the weekdays) and I guess go in the early afternoon. It's calm, serene, there's benches for you to sit and comtemplate the pieces and most-importanly- there's a souvenior shop for all the artsy-fartsy knicks knacks you might need.