Hi, what would you like to know about this accommodation? close to monorail?
The monorail runs right behind the Carriage House but you can't get on it there. There is a station at the MGM, about a 15 minute walk down Audrie Street. Or a station at the Paris, about a 15 minute walk up Audrie Street. It goes all the way up to Sahara Avenue, basically the north end of the strip, with multiple stops along the way. Try Google maps.
It's close to the monorail but far away from a monorail stop. You'd be better off using an Uber. And really you'd be better off not staying here. It's not good.
I'm pretty sure you can get to the monorail through the Paris Hotel which is very close. 10 min walk maybe.
Get an answer from The Carriage House staff and past guests.