There is no maturing for your ls. What I'm guessing is your real question is your tank cycled. You will need to get a good test kit to test for ammonia, nitrites, and nitrates.
The proper cycle for a tank is to first add something to start the cycle, or add ammonia to the tank. This will cause bacteria to form to consume the ammonia, the ammonia levels will drop then the nitrite levels will rise. Nitrites are poisionous to fish, inverts, corals, and coraline alge. Once your nitrite drop to 0 your nitrates will jump. Without really good filtration your nitrates will stay up.
Fish and hardy inverts can stand some nitrates, but corals will die or not grow with any nitrates in the water.
This process can take weeks to complete depending on the size of the tank, and the amount of ls/lr.
If you want your cycle to complete sooner I would suggest getting some lr. Probably 1 lb for each gallon of water. Lots of live rock and a deep sand bed will cycle a tank much quicker. Once your ammonia and nitrite levels are 0 and your Nitrates decrese to very low levels your tank has completed its cycle.
Good luck
