As noted in Nakamoto's whitepaper, it is possible to verify bitcoin payments without running a full network node (simplified payment verification, SPV). A user only needs a copy of the block headers of the longest chain, which are available by querying network nodes until it is apparent that the longest chain has been obtained. Then, get the Merkle branch linking the transaction to its block. Linking the transaction to a place in the chain demonstrates that a network node has accepted it, and blocks added after it further establish the confirmation.
So that’s Bitcoin mining in a nutshell. It’s called mining because of the fact that this process helps “mine” new Bitcoins from the system. But if you think about it, the mining part is just a by-product of the transaction confirmation process. So the name is a bit misleading, since the main goal of mining is to maintain the ledger in a decentralized manner.
The other reason is safety. Looking at 2009 alone, 32,489 blocks were mined; at the then-reward rate of 50 BTC per block, the total payout in 2009 was 1,624,500 BTC, which at today’s prices is over $900 million. One may conclude that only Satoshi and perhaps a few other people were mining through 2009, and that they possess a majority of that $900 million worth of BTC. Someone in possession of that much BTC could become a target of criminals, especially since bitcoins are less like stocks and more like cash, where the private keys needed to authorize spending could be printed out and literally kept under a mattress. While it's likely the inventor of Bitcoin would take precautions to make any extortion-induced transfers traceable, remaining anonymous is a good way for Satoshi to limit exposure.
With the Bitcoin price so volatile everyone is curious. Bitcoin, the category creator of blockchain technology, is the World Wide Ledger yet extremely complicated and no one definition fully encapsulates it. By analogy it is like being able to send a gold coin via email. It is a consensus network that enables a new payment system and a completely digital money.
The receiver of the first bitcoin transaction was cypherpunk Hal Finney, who created the first reusable proof-of-work system (RPOW) in 2004. Finney downloaded the bitcoin software on its release date, and on 12 January 2009 received ten bitcoins from Nakamoto. Other early cypherpunk supporters were creators of bitcoin predecessors: Wei Dai, creator of b-money, and Nick Szabo, creator of bit gold. In 2010, the first known commercial transaction using bitcoin occurred when programmer Laszlo Hanyecz bought two Papa John's pizzas for 10,000 bitcoin.