As it is the only natural source of food on the Moon it should be highly sought after by any moon explorer with a need for food. Cheese Curds can be attained for eating and/or to create Cheese Blocks.
To mine it, it requires a Heavy Duty Pickaxe or better (e.g. Diamond pickaxe). A pickaxe with Silk Touch can obtain the ore blocks which can be smelted in a furnace to obtain Cheese Curds.
Cheese Ore can be found between layers Y=0 and Y=128 with a frequency of 12 clumps within every chunk