Local attractions:

Shaniwar Wada (18th century Peshwa fort)
Pataleshwar (Monumental cave temple from 8th century B.C.)
Raja Dinkar Kelkar Museum (Sizeable collection of Indian artifacts)
Sinhagad (Backpacking, waterfall, birdwatching)
Lohagad (Backpacking, cave, nature)
Dagadusheth Halwai Ganapati Temple (Iconic Lord Ganesha Temple)
Bund Garden
Rajiv Gandhi Zoological Park
Pune University