Blocks never stop generating?

Hello. My understanding of Bitcoin is not perfect, so I would like to ask questions about its operation. When Generating, the user will gain 50 coins after creating 120 blocks. Why does the program continue generating blocks after that point? And why does one not gain another 50 coins after generating 240 blocks?

Also, I sent a few coins to someone to test the transaction system. Even though it was just a few coins, that transaction’s status currently reads “166 blocks”. It seems that it will continue incrementing indefinitely. Why is this?

I thank responders for increasing my knowledge.

So that transaction will eventually read “1000 blocks” or more? Is this information important?

Yes it will.

Importance is relative. You can use the number of blocks to calculate some statistics. Also, if you press ctrl+[numpad+], you will see the serial number and hash of the blocks. (At least on windows).

Where it says ”# blocks” in the status column I’m changing it to say ”# confirmations”.  That might be clearer.

If you doubleclick on the transaction you get a little more information.