Its a cave town which is part of UNESCO world heritage program. If you love heritage then Uplistsikhe is nice heritage spot. I would suggest to go with a group which will be very exciting.
On my way back visited the flea market and for interesting souvenirs. Negotiate well before you lock the price.
Where to stay
I would suggest to stay in hostels or couch surfing which you meet lot of amazing travelers and lot of amazing stories. Zodiac and Marco polo hostel are one of the best in tbilisi .
In hostels you can hangout with fellow travelers and get to know about interesting destination and travel ideas. Which fuel up for your next destination.
Use couch surfing to hangout with travelers and local people.
What to eat
Travel in tbilisi
Tbilisi has a metro which you will be able to travel most of the part in the city. To travel out of the city like kazebegi there is a main bus station Didube which you will get bus to most of the tourist place. Didube is accessible via metro from Tbilisi
Indian passport holders having valid UAE visa have Visa on arrival.
Others can check they need visa here or just apply 30 days for 20 usd.
"its not about destination its about the journey"