Cured live rock means the rock has been cycled and is ready to use. When rock is taken from the ocean and shipped many organims or whatever may be crawling on the rock die off, so when a dealer receives the rock, the rock must cycle much like your tank cycles. If you were to take that rock and put it directly in your tank you would get an ammonia spike from the die off. If you ever order live rock and they say it is cured you will have to cure it againbecause there will be more die off from shipping. In fact many people use live rock to cycle their tanks.