In summary, Apple Care does cover screen replacement, but only if you have Apple Care+. With Apple Care+, you can get up to two incidents of accidental screen damage coverage for a fee of $49 per incident. If you don't have Apple Care+, you'll need to pay out-of-pocket for screen replacement or repair. If you're concerned about screen damage, consider investing in Apple Care+ for added peace of mind.
This is where AppleCare+ pays for itself the fastest. does apple care cover screen replacement