To get hair out of a shower drain take a screwdriver and remove the screen that goes over the shower drain. "I'm Assuming you have a screen or other cover over the drain"
Once you have access to the drain then pull out any hair you can get to from the drain with either your hand or by using some tweezers or anything else that can grab the hair.
You can also use a plumbers snake to run down the drain to pull some of the hair out.
If there's still hair in the shower drain you can pour some baking soda down the drain followed by some vinegar and then cover the drain back up to allow the baking soda and vinegar to fizz.
The baking soda and vinegar will work together to break down and dissolve the hair in the shower drain.
Bleach will also dissolve and break down hair in your shower drain just cover the shower drain for 30 minutes with either the baking soda and vinegar or the bleach and then pour some boiling hot water down the shower drain after 30 minutes and the hair should be gone out of the shower drain.
If not you may have to repeat the procedure until the hair is gone from your shower drain.