Although I wholeheartedly agree with the folks who are saying that a dry suit is the way to go, if you are going to dive regularly in you region, I think some folks may have missed that these are your OW certification dives, and you are going to be doing them in the near future.
Shallow water temperatures are on the way up where you are. I don't know about this year, but last year in June, surface water was in the 70's. You will probably be fine with a relatively thick wetsuit (for your tolerances, probably 7 mil) and a hooded vest. The hood is key, and I would suggest wet gloves as well. The certification dives are likely to be brief (no more than 30 minutes) so you will not be in the water long enough to get very cold. Make sure you have a big jug of hot water with you to pour into your wetsuit before and after the dive. A heavy, fleece-lined coat (like the True West parkas) is a great thing as well. Get out of the wetsuit between the dives (at least to your waist). Although it is tempting to believe that the suit, being thick, will keep you warm on land, it isn't true. Getting DRY is the best way to get warm.
Have a thermos full of warm liquid ready, as well. The key to the second dive is getting as warm as possible during your surface interval. A lot of wetsuit divers will say that they're pretty much the same as dry suit divers for the FIRST dive . . . it's the second one where they suffer, because they couldn't get warm between dives. Warm doesn't just mean comfortable, either -- it means being on the edge of, or starting to sweat. Wrap up, drink hot stuff, and stay cocooned until you HAVE to get back in the wetsuit. Then use the hot water you brought to warm the inside of the suit, so you don't have to spend body heat doing it. Eating something between the dives helps as well, because digestion produces heat.
I dive in Puget Sound, where the water temps are in the mid 40's all winter long, and I HATE being cold (worse than being hungry, tired or in pain). I have become the mistress of conservation of thermal units, because cold is what drives me out of the water.
If you find that diving calls to you, early transition into a dry suit is absolutely the way to maximize your fun.
Good luck with your certification class, and I hope we soon welcome you into the ranks of people who get OFF the boat
