Hi, Ms Li, you have the same question with Ms Tan. You can refer to my suggestions to Ms Tan as the following to plan your trip:
The usual temperature is about 14~21C during March in Taipei. It is cool and temperate. No need to bring boots. Long-sleeved T-shirts or thin sweatera plus a light jacket are OK. There may be rainy days during March, thus you'd better bring a raincoat. You can see cherry blossoms during the mid March.