I think you are aware of awe but just in case, you can do this now (and you can also publish data on the network using it - so others can view what you publish). The network is not reliable yet, and anyway it is only a demo app, so not great UX. But it will get there as the fixes fall into place and the network becomes reliable. 
I haven’t made a big song and dance announcement because of the remaining issues, but a few people have used it to view websites and two have published sites, in addition to myself.
More about 'awe` on this topic: Website builders - an invitation - #63 by aatonnomicc and the Linux build can be downloaded from https://downloads.happybeing.com (See also awe documentation).