If -- no
WHEN I solve a block, will the good news appear in my stats at
http://solo.ckpool.org/users/? Other than monitoring cgminer, is there anyway to know that I hit the jackpot? Or do 12.5 BTC just magically appear in my wallet?
You will be informed in this thread if there is a solved Block for your wallet adress. Or you'll see it in your wallet first.