M.D.
I think you should contact the CSA and ask if they have a general outline of when different fruits/veggies will be in season. I joined one once, and in the beginning of the summer it was heavy on peas, beans, and greens. Tomatoes and peppers didn't come until a month or so later, and in August we had watermelon coming out our ears! But, I still sometimes wanted tomatoes in May and early June before they were ready locally, and I still wanted some peas/beans in September long as after they were done producing at the local farm. So, in my experience, unless you really want to switch your eating habits to focusing on only what is in season at any given moment, you will still have to shop for produce. I just timed my regular meal planning and grocery shopping trip for a day or two after my CSA delivery.
IMO, the biggest benefit of the CSA was that it got us out of our subconscious food rut, and we tried a bunch of new things.
My CSA would give us suggested recipes for some of the less common items - I became an expert at cooking Swiss Chard, which I had never eaten before, because I got it every week for many weeks!