Your question was not clear to me, AFAIU you want a decentralized web ?
You want to have a web where the gov does not censor websites anymore ?
Look into Hostcoin and Namecoin
https://hostcoin.io/https://namecoin.org/Basically they are an attempt to build a new WWW built on a blockchain.
In the normal web, when your browser tries to browse a website, it firstly needs to discover the IP address of the computer/server where that website is.
This initial step needs the famous DNS and is called DNS Resolution, which is centralized.
DNS resolution is centralized because the browser does it by contacting well-known servers, called DNS servers, that provide the website's IP , and these DNS servers are controlled by the gov.
When the gov decides that a website is competing with its business and evil plans, he decides to ban that website.
Hostcoin and Namecoin provide a decentralized DNS resolution and solve this censorship issue.
They let everybody have a website on their local computers and browse the websites on the blockchain with no centralized DNS.
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EDIT: you mentioned google.
These blockchain solutions i think will be free from the Google search engine, because the websites in those blockchains are not indexed by google but you have to use other means to do a website lookup via search queries.
So the answer is No, over there we are not affected by the google monopoly, fortunately
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EDIT 2: how will they affect the old WWW ?
There's the potential to gain popularity in a few years, pretty much like TOR did, but not replace the regular WWW.
Maybe they can do better than TOR if they are good at marketing it, so it will be worth the struggle to register your site on Hostcoin/Namecoin