Olympia is a fun city, and the best resource for fun is Experience Olympia.
You will not want to miss these yearly events:
Some favorite Olympia parks:
Tolmie Park 7730 61 st Avenue NE Olympia
National & State Parks Near Olympia
Mount St Helens National Volcanic Monument/Washington State Park (2.2 hours from Olympia)
Olympia Beer Commercial 1966 (sorry about the YouTube ads)