You have to test for ammonia, nitrites and nitrates. Your ammonia will spike and begin to go down, then nitrites will spike and begin to go down, then nitrates will spike. Your tank is cycled when ammonia is 0, nitrites are 0 and nitrates are 40 or below. They need to read 0's for about a week to ensure it is cycled.
Keep testing and add very slowly starting with the most hearty corals. Some things need a tank that has been stable for 6 months or longer. Lot more to corals but, that's the basics for cycling.
Word of advice. The damsels are aggressive and if you are not sure that you want to keep them, you might want to take them back to the lfs and cycle with a raw table shrimp or some flake food.