I assume that Shop Viewings are simply if someone looked at your shop site or not like etsy.com/shop/, while listing views are when people individually click on your item (in the shop or out) and look at it. I think search is whatever they have searched for on google, etsy, facebook, etc that has led them to your site. Categories are most likely found through etsy based on the category you set your item to. Your profile views are the "about you" section of your site. Shop section views are probably when they click on different sections in your shop and look at the items that way.
I hope that wasn't too scrambled to follow, but I'm not an admin so they can certainly confirm.