In reply to dsiska:
I walked up it 3 years ago (I think). This was a summer trip - July I think.
Georgia was a really interesting place and strongly recommend visiting as much as you can whilst there.
It is a ~1400m day from the village in the valley up to the base camp area - you can camp part way to break the day up but is was perfectly manageable in one day. Reasonably straightforward in the summer with most of it walking in nice Alpine fields. There was a stream crossing that you had to be a bit careful of and then a glacier crossing below the hut. The glacier was dry when we did it but heavily crevassed. We didn't rope up or use crampons as there was a lot of grit and crevasses should have been easily navigable (until we messed up a bit and had to jump across crevasses which was not the most enjoyable). I guess this will be a wet glacier when you do it.
The hut is a hut in name only. No facilities other than bunk beds. The main issue is the whole base camp area is one big toilet. Plenty of space for camping. There was running water coming off the upper glacier that was clean. But be really careful about hygiene.
We acclimatized a bit more above base camp and then had a rest day. It was then a big ~1400m push to the summit. First part was over rocky terrain for a couple of hours ish. We then put on crampons and roped up. The upper wet glacier was very heavily crevassed but good snow bridges when we went up (less good and therefore interesting on the way down). There was also quite a bit of rockfall from the surrounding peaks. Depending on snow cover and temperature I would assume April should be fine.
The route was mainly a simply snow trudge. The final section was steepish, icy and needed protecting with ice screws. This was a short section though and again I would guess snow covered when you do it. Great views from the summit.
Obviously conditions will be different for you in April and skiing but hope that helps.
