Cool touristy shit:
Pike Place, get fish and chips at Jacks, then go to the Lusty lady and (take quarters)
Discovery park, then hit the Ballard locks, then hit Golden Gardens (beachhhhh)
Gas works, then check out the Montlake cut and walk around in the wetlands down there
Drive 10 minutes through the Arboretum to the Japanese Garden
Go to Kurt Cobain's old property and read all the dumb shit kids right on the bench next to it
Drive 5 minutes to Madison beach
There's some good record stores and shit scattered throughout the city too, I can help depending on what you dig.