Below are some links for tourist type stuff.
There are lots of free lectures and activities at UCSC
and I won't try to include that.

All day trip going north to San Francisco about 2 1/2 hours drive
along the coast highway then onto Highway 35 above Pacifica,
behind the Zoo to the Great Highway.
Past the Cliff House to Lands End then to
Fort Point.

Alternative, turn right at the end of the Great Highway into
Golden Gate Park.
They close the Park roads on some Sundays for bicycle riders.

There are other things to do in SF like Fisherman's Warf,
Alcatraz tour, Cable Car and ExpOatorium but very packed with tourists
and parking tickets very expensive.

Half day trip north, Ana Nuevo (elephant seals).

Closer to BonnyDoon, seven miles down Pine Flat
and one mile north on coast highway, Whale City Bakery.
Lots of locals and kids and some tourist buses stop there.
Music and cheap meals on Thursdays.

Afternoon trip, Big Basin Redwoods State Park.
North on Empire Grade, down Jamison Creek Road
to left on State Route 236.

UCSC Arboretum, down Empire Grade on the left
1/2 mile before UCSC main entrance.

Bus station is on Pacific Ave. There are lots of shops
and restaurant there.
Can walk to Beach/Boardwalk from there.
Good fish restaurant at the end of the pier.

Capitola, Home Depot and Sears at the Shopping Center
on 41 Ave.  Capitola beach is cheaper than Carmel.

Now starting from Big Sur about 2 1/2 hours drive south.
Mission Carmel, part of the Spanish history of California.

Point Lobos State Park

Carmel by the Sea
Art Galleries and boutiques and nice but pricy restaurants.

Seventeen Mile Drive (toll road, take State Route 1 if you are in a hurry).
Pebble Beach Golf.

About two hours south from BonnyDoon,
Monterey Bay Aquarium, probably the best aquarium
for California Coastal ecosystems.
Allow all day for this.

I don't know how far you want to go from Santa Cruz.
Yosemite National park is about 5 1/2 to 6 hours east
on highway 580 or 152. 
About 8 hours on State Route 130 (Lick Observatory).
There are nice Hotels outside the Park entrances and
camp style accommodations inside the Park.
But it's very crowded during summer vacation and
probably hard to find accommodations.
Yosemite Valley is a good place to bicycle.

Fort Point

Lands End

Golden Gate Park

Academy of Science

Pigeon Point Light House

Ana Nuevo

Whale City Bakery

Big Basin

UCSC Arboretum

Santa Cruz Pacific Avenue

Santa Cruz Beach and Board Walk


Big Sur

Mission Carmel

Point Lobos

Carmel by the Sea

Seventeen Mile Drive

Monterey Bay Aquarium

Yosemite National Park


Master Bath

Hall Bath

Bob's Studio