can i mine it?
are all the coins distributed allready or can i get me some nem?
You can't mine it no - this is not a PoW coin (thankfully).
NEM will be a POI coin (Proof of Importance)whereby, and i quote:
'Proof of Importance' (PoI) coin generation that rewards people for actively using NEM as a currency, discouraging hoarding. The people most important in maintaining the network receive the highest coin rewards, not the people with the most NEM.