The state owns the only alcohol store.
https://en.wikipedia.org/wiki/Alcoholic_beverage_control_sta...
As for monitoring - as said elsewhere, if monitoring of supermarket sales will happen or not depends not only on what that particular office wants (SSB - central statistics bureau), but what politicians decide on. And, despite many comments here believing otherwise, it is actually quite common for Norwegian politicians to listen to massive resistance from the people, particularly when the reasoning behind the whole suggestion is quite questionable, as in this case. In any case, whether alcohol is sold here or there it wouldn't make any difference to the monitoring. And cash is still legal tender in Norway, even if there are some that don't like that fact. As for myself I believe only Mastercard really know how much money I use on wine. I don't think they know my preferences though (Italian, as it were)
How do they feel about being responsible of delivering poison to people then? Somehow I can rationalize it if it's a transaction between private parties, but if the government acts as the drug dealer it's no better than a cartel.