Yes it snows. If you go further north to Gudauri there is very famous ski resort. There the best hotel is Marco Polo. So in Gudauri definitely snow is there.

Dear Its my first time to go to tbilisi So i will tell you as much as i know When you come check in a hotel in the old town area its the best place to see places around or you can rent an apartment in the same place for at least 50 laris for 1 bed room Georgian food is nice I recommend you to try lobyo and kabab and khenkali Walking arround old city on foot will let you see alot of nice places forfree that you can book tours for it so dont book a tour for a places that you can see on foot Book a tour to see old church in meskhita its amayzing and the old capital of tbilisi prices iam not sure but at least 40 laries . Bars are the best in chardani street But kinda expensive Clubs opens only on weekends and most of them on the same st Taxi from an airport to the old city will cost 25 laries and the maximum is 30 so dont pay more than that ! U should buy some honey and cheese its the best specialy the moutain honey If you want to change euros or dollars the best exchange on liberty square has a very good exchange rates I hope i was helpful