It will be almost peak foliage season around that time, so taking a drive through the Berkshires (an hour west) is a great idea.
Worcester itself is not all that exciting. There are some great restaurants and bars, but not a ton to do during the day. Nearby are lots of parks for hiking, golf courses, farms for apple picking, etc. It really depends on what kind of activities you want to do.
Also, as obvious as it sounds: there's a ton of stuff to do in and around Boston. Boston is less than an hour from Worcester.
If you just want to have a few beers and play some games, there's always the cheesy yet entertaining Jillian's: http://www.jilliansworcester.com/