If done effectively, it will kill the grass that is there now. It can't prevent new grass if seeds get into the area, or infiltration from the edges if surrounded by vine grasses. A barrier of edging, like an outline of bricks, will probably be needed. Regular bricks, IME, are not big enough to prevent vine grasses from creeping in. Bigger bricks made for building a retaining wall are much more effective. They have a flatter surface, are taller and wider. Even better would be 12" patio bricks as an edging. They fit more closely together and the wider width is more effective against something like torpedograss. I still get some infiltration where bricks meet, but it's not usually much work when that happens to pick up a few bricks, pull or dig the invading grass, replace the bricks.
Effective, to me, is using thick corrugated cardboard, overlapping well, and covered with at least 6" of heavy organic matter. One of those times when more is more, especially when you need to kill tough vine grasses. In hot, steamy conditions, decomposition happens quickly, so you don't want to skimp when covering the cardboard with mulch or other OM.
When it's time to use and you dig some holes and install new plants, seeds that were under there can get stirred around and sprout. Monitor closely around newly installed plants to pull any other sprouts while they are small enough to come up easily.
If you start digging in, to add a new plant, and discover cardboard, it needs more time. The cardboard should be gone before the spot is used, and remain unviolated until then.
In your climate, Gina, if you set this up now, it should be ready to be used when it cools off, Oct. or Nov, unless it happens to not rain very much this summer.
You probably already know this part, when mowing, aim the chute away from cultivated areas and back toward the mowed area.