Here is what I would consider "MUSTS" for an out-of-towner (you can Google all of these to get specific hours, directions, etc.):
Portland Saturday Market (under the Burnside Bridge)
Powell's Books (Pearl District/downtown location)
SE Hawthorne (between 30th & 40th)
Multnomah Falls (1/2 hour drive east out 84, and *completely* worth it)
Forest Park and/or Washington Park
Pittock Mansion
Pearl District and/or NW 23rd for shopping/dining/people watching
Kell's Irish Pub (Old Town)
Horse Brass pub (SE Belmont St., Belmont - more microbrews & scotches than you've probably ever seen in one place)
Der Rhinelander/Gustav's (Sandy Blvd., Hollywood - get the fondue!!!)
Newport Bay (Portland's only floating restaurant)
I would also 2nd Phil's recommendation of getting a drink (or a dinner!) up at the top of Big Pink. You can't beat the view. Also, yes, Willamette Week is good for finding music events & etc.... LOTS and LOTS of "etc"
