I've never pulled a bumper pull, but with my boyfriend's gooseneck it's really easy to forget that it's back there. It's no big deal, especially if it's a small trailer.
Just don't forget to turn the overdrive off or you'll mess up the transmission. Actually, since it's a rental, I wouldn't worry about it since it will kill your gas mileage. Are you sure that the rental will have a hitch, though?
Just give yourself more time to stop since you won't have a trailer brake and you'll be fine.
I always say that you should take better care of someone else's stuff then even your own!