Hello Cointosser99,
When a miner successfully solves Bitcoins PoW algorithm and mined a block, this block reward will be distributed to the miner that solved it. It is distributed by the miners adding it as the first transaction on a block. This transaction has no inputs, but only an output to the miners wallet address. That miners wallet address also has a private key, but it does not work by generating a private key and public address that contains the block-reward. The newly generated coins will just be send to the miners address. From that address the coins can be spend to any other address in the network, like a regular Bitcoin transaction.
We hope that this explanation gives you a better insight as to how the block rewards are distributed.
With kind regards,
The Anycoin Direct team