Located on the pennisula, Portola Redwoods State Park features old growth and second growth redwoods. There are numerous creeks, even in late summer, and you'll see abundant ferns and shade loving plants along the trails.
You can pick up a map at the visitor center, and expect to pay $10 for parking.
The images below were from the Sequoia Nature Trail, Iverson Trail and the Coyote Ridge Trail.