Stop in and see the National Women's Hall of Fame in Seneca Falls.
Cornell University is in Ithaca.
In the summer, the Finger Lakes are home to many great music and arts festivals, including the Finger Lakes GrassRoots Festival of Music and Dance.
Also, check out the Rochester Folk Art Guild, a local community of craftspeople who have been creating fine art for over 35 years.
Skaneateles Village is a must. It's a "cute-as-a-button" StoryBook Village perched on the edge of the lake. The Creamery local historical society can tell you all about the "teasel" and the Lightning Class Sailboat. Watch for their Wooden Boat Show, Chamber Music Festival and Charles Dickens Christmas.
Numerous waterfalls and gorges dot the area. Some are visible directly from main roads, but impressive ones can also be viewed at Watkins Glen State Park, Taughannock Falls State Park, Robert H. Treman State Park and other locales, particularly between Cayuga and Seneca Lakes.