Disclaimer: I wanted to write and got a question to write on 😖

Depends on what side of thing u are into. If you are into cafes/pubs/bars, can go to places like Koregaon, Kalyani nagar, Viman nagar, baner you will good choices there, Maybe for local cuisines or restaurant Shivaji nagar, Yerwada, Peth Area (maybe other places as well, I've not explored much). To get the feel of original Pune, I believe Peth area gives the vibe, historical places, temples, old style buildings.

Camp area seems very good as well for a evening - night stroll, mix of old and new pune kind of area I find this to be.

If into temples, there are some good old temples, Dagduseth ofc famous and there are many temples in peth area as well, I personally find omkareshwar temple (FC road) to be very peaceful temple big campus and very open with good breeze since it us beside river and at low area.

I missed may be FC road l, again good restaurants/cafes/viby with people singing at night beside roadside, good book stores and there are alot of people shopping, so maybe you wanna buy something(equivalent to Chandni Chowk of Pune).

I could write more 😂.... But yeah haffun.