Following Catapult's own Quality Control processing (Which normally takes 1-4 days), It usually takes around 1-2 days for content to go live in Apple Music / iTunes.*
*Please note that a very small percentage of albums undergo a random quality control review by a human at Apple which can delay ingestion to around 5 days. This is outside of our control, so please plan accordingly and submit your album as early as possible (Just like the major labels).