Ans1: You'll get BTC in your acc/ then you'll know that you got bitcoin , other then that you can check it on Blockchain , blockr.io or other similar sites by just entering your btc address in search box.

Ans2: I'm sure you are talking about Miners not Minors, because no one cares if there is minors involved in bitcoin network or not but we certainly care about Miners Just to answer that question i'll say " It will never happen. " miners will stay in network even after mining all btc.