By car is really the only way in or out. US-101 makes a loop of the Olympic Peninsula, but only some spur roads actually lead into the park. The interior is roadless and is only accesible to backpackers. Most people visit either the park's beach section, which is accessible only on US-101 between Forks and Aberdeen, or Hurricane Ridge, which is accessed from a road out of Port Angeles.
Access points from the more remote east side are Staircase turn west off 101 in Hoodsport or Quilcene closer to the Hood Canal Bridge.
The best way to see the park is to drive from Aberdeen on northbound US-101 and "do the loop", ending in Olympia, taking three or four days to visit the coastal section Kalaloch Campground or Lodge are great places to stay, the rainforest Hoh, Ozette an easy three mile hike in, or do the easy nine mile loop, tides permitting, Lake Cresent, Hurricane Ridge, and Staircase.
Campground reservations are recommended in the summer.