Certain websites do not load, but load under a VPN connection? DNS settings?

Are you saying the hardware can be the cause of this? There’s got to be some reasonable explanation, check your /etc/hosts file, disable all the extensions you have installed, compare loading https://www.aljazeera.com and http://www.aljazeera.com (for me, http loads fine, loading https takes forever).

Else you might wanna try a different browser (check Software Center) to see if this is unique for PureBrowser or reproducible for other browsers as well.