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I find the entire style of the video sliiiightly hyperbolic. As for the technology, I see no revolution, but I might be missing something. P2P in the browser has been around for a bit e.g: WebRTC - Wikipedia
If you want to learn about building a new internet using peer to peer devices for storage and computing you're probably better off watching Silicon Valley. It's the exact same thing, only funnier.
You can download the whole series from peer to peer services like Kazaa. It'll probably take you over a month to do so however due to the inherent performance and connection issues associated with p2p technology. While you're waiting you can try to play some peer-to-peer online games while suffering the inherent performance and connection issues that come with p2p tech. Maybe make some posts on p2p social networks like Diaspora (what? never heard of it?).
Once you finally understand it all install Holochain and start participating in their app eco-system. 99% of which are bitcoin miners.