Must Do’s in Taiwan?

Hi all, I might be travelling to Taiwan in March for the first time, solo for 10 days! So what are the must visit underrated places, must do activities, must buy shopping stuff(the ones that are cheaper and better than the rest of the world), must experience stuff and most importantly must eat FOOD?! I am female solo traveler, so any advices on that? Heard Taiwanese people are the most kindest and friendliest ones, so I am not scared also I have a Taiwanese friend there so hopefully everything goes well, fingers crossed!