This is the classical lemongrass for cooking. Easy to grow in any frost-free region and a sunny spot. If you grow in a hot area it will grow super fast and you will be able to use it as a mulch for your garden. You will still get culinary quantities further South but in frosty areas, lemongrass has to be brought inside during winter. Lemongrass is not picky about the soil but wants a reasonable drainage and prefers rich soil.
I am 99% sure that this is Cymbopogon citratus. I don’t propagate it by seeds and the grass blades are much coarser than with the other variety cymbopogon flexuosus. The latter one hasn’t got red in the stem.