you are pointed to a website like bitcoin.org because it is a good source for reading all the basic information you need as a beginner in one place and it is "correct" information unlike many of other sites that contain misleading stuff. and you do NOT download the blockchain there, you only find links to different software that are open source and are created to let you connect to the network.
what is this "network"? it is every computer anywhere in the world that has the blockchain and is connecting to others and communicating with them. this computer is called a node. you connect to these nodes and download the blockchain, transactions in the mempool, new blocks, broadcast your new transactions to them which they propagate by sending to others,...
How can I connect to the nodes and download the blockchain without going through something like bitcoin.org?
well in order to do anything on your computer you first need a computer program that can do that thing for you. so you either have to write the code yourself or download the code that someone else has written. when you go to bitcoin.org you are downloading
the open source code that groups of expert programmers have put a lot of effort in developing. it is an implementation of the protocol:
https://bitcoin.org/en/developer-referencethe way you connect to other nodes is like any other peer to peer system, you initially either have hard coded IP addresses or connect to a seeder and find them. then for future times your client stores a list of node IP addresses which it uses to connect to. and while connected you constantly share the list of other nodes with others. initial peer discovery:
https://bitcoin.stackexchange.com/a/3537/87716I want to know how to connect to the bitcoin network without using someones website. Not that I don't trust websites. Websites can be tampered with. I want to know how to go straight to the source.
the link in that quote is the "source"! remove the /releases from the end and you'll see the code.