Mount Timpanogos
Located to the north of provo, mount timpanogos is a very prominent and well-known landmark across the wasatch front. it rises to an impressive elevation of 11,752 ft 3,582 m. it is the location of one of the few permanent snowfields in utah, and is also the location of several breathtaking, scenic, and popular hikes.
Velour Live Music Gallery
(http://www.velourlive.com/) is one of provo's gems. the venue is a mandatory stop for artists from utah's surprisingly healthy local-music scene, and touring artists often sidestep salt lake city clubs to play here. a full calendar of shows is available on the venue's website.
Go skiing in the winter or mountain biking in the summer
At sundance (http://www.sundanceresort.com/) or alternatively just look at the various art on display.
Fish the Provo river
A good place is at nunn's park right across from bridal veil falls in provo canyon.