American Indians and farmers (among other groups) associate each full moon with animal and plant seasons. So when looking up July 23-24 think of that large orb moving westward across the sky as the Buck Moon because those deer are growing their antlers now. Or call it the Hay Moon because farmers usually load their hay in barns now away from storms.
It will look full for a few days but optimal fullness is when it is directly opposite the sun. In central part of the United States that is July 23 at 9:37 CDT.
Two good places to learn about full moon names in different cultures are NASA Solar System Exploration and The Old Farmer’s Almanac. Also EarthSky has full moon related planet information.