I want to create some apps to add to Google Chrome (so they appear as an app in the "new tab" page) that are nothing but a link to websites like Facebook, Stack Overflow, etc.
Can I publish it to the WebStore?
Yes, you can create a Chrome app that points to a domain that is not yours, but you cannot add it to the Chrome Store. I followed the hosted app tutorial. If you really want your app on the Chrome Store and you own a domain, you can have your hosted app manifest.json point to a URL that you own and have that URL do a redirect to the domain that you do not own. If you do not own a domain, you can get one for free from http://www.tk/.