Hi Tparrent. Welcome to the neighborhood. Most of us have "Boat Coats" - long fleece coats (knee length) with windproof outer layer and hood. Most guys roll down their wetsuit to the waist and put on teh boat coat between dives. So whatever equivalent sort of clothing you have would be good.
Those of us who run cold also:
1. Stay inside the boat out of the wind during SIs.
2. Drink more than our share of hot chocolate.
3. Bring 4 fleece beanies to put on during the SI - totally helps keep your head warm.
4. You def need booties. Some folks put wool socks inside them - make sure your fins fit any rental booties you get. And a hood, you need a hood.
5. I have started wearing a dive skin under my suit - encourages me to get the suit off, which helps me alot in warming up.
For the ride home, you want sweats.

Unless the boat has a hottub, and if it does, it's my new favorite boat! Spectre does, Peace does.
Water up there July 4 weekend was running 59ish.
I don't know where on Anacapa that captain likes to take you, but when I go on the Spectre, we rarely dive deeper than 50 feet or so - Anacapa is mostly pretty shallow (or else I've just been hitting the same spots over and over I guess.) Because the viz ain't so great (expect 20-40'), it would be good to make sure your console has a compass on it.
You're a guy though, right? The guys on our trips don't seem to shiver too much so I wouldn't worry, you'll be fine! ;-) Us ladies are the ones with our teeth chattering all the time.
Have a great time! Anacapa is beautiful. Look for the nesting garibaldis.
Taxgeek