It doesn't advertise as having Gluten Free options, but there are some choices that normally don't contain gluten. Bring your GF travel card and be prepared to explain cross contamination. From the Georgian menu, I had perhaps 4 choices and went with the phkali and badridzhani nigvsit and found it to be a bit underwhelming. I advise bringing your own bread to accompany any meal you might have there
I had the shkmeruli and it was delicious. The food is a little pricier than other restaurants. I could’ve found cheaper
The staff spoke good English and were helpful - whilst no dedicated GF menu there are many meals which are GF due to use of basic foods