Important moment that in the winter period, you need to have a full day on the way there and a full day on the way back. In this region, it is impossible to leave Tbilisi in the morning, as in Kazbegi and Gudauri, and on the same day already be on the mountain and ski, and then go down from the mountain and return to Tbilisi.
There will be full travel days from Tbilisi to Goderdzi and full travel day on the way back to Tbilisi.