As a local who lives on the outskirts of Taipei, I think there is nothing to explore. If you are interested in food, you can go to Kaohsiung or Tainan and enjoy real Taiwanese food. And if you are interested in nature, it's better to visit the eastern villages of Taiwan. Taipei is just like every big city, such as Seoul, Tokyo... There are tons of Starbuck, McDonald's, and KFC. Some people will say there are Shilin night market, Taipei 101, Shi-men Ting, Yan-Ming Shan National Park, National Palace Museum and Chiang-Kai Shak memorial hall... You can find information on google anyway. It depends on how long will you stay in Taiwan and when will you come.