When you arrive in Rome, make your way through to the arrivals hall (stopping to wrangle your bags off the carousel on the way). You'll be met in the hall by a representative or driver, either with your name on a board or at a designated desk. Show them your confirmation and hop aboard your transfer to your hotel.
Your transfer driver will endeavour to drop you off at the door of your hotel, but occasionally, this is not possible due to vehicle size, pedestrianisation, etc. In this case, you'll be dropped off at a nearby, convenient location instead.