Well if your adding living critters (live rock/corals) you will have more organic wastes, and since the addition of nitrifying bateria (microbe-lift) your ammonia goes down, but your nitrites and nitrates go up, which would more then likely result in a algea blume due to the additional plant food.
So yes it is normal, I have a few suggestions, first test your nitrate/nitrite and phosphate levels and if they are high then that is the cause of algea blume (which it should be as I haven't heard of any other reason).
So then your options are to do some big water changes to drop their levels down, and/or add some good macro algeas to your fuge or sump or even your main display (main display with caution as they can become plague levels of growth) and trim them on a regular basis (when they double in size for example) the macros/water changes will drop the amount of food that the diatoms can use, and therefore the diatioms will disapear slowly.
Another option in addition to the water changes is to add an algea scrubber, which is basicaly the same as adding macros but is a system designed purely for reducing disolved organics from the water by making algea growth more favourable in your sump then your main display, but again you have to remove large portions of the algea on a regular basis.
I hope this can help.