Skim through the script briefly if the director allows you a few minutes to look it over. Quickly identify the main storyline of the script and the part that you will be playing.
Hold the script out in front of you without covering your face. Move your hand down the paper as you go so that you don't lose your place.
Take your time while reading instead of rushing through the script. Read a line or two silently and then look up while saying your lines out loud.
Continue to look up frequently throughout the reading and make eye contact with the person reading opposite you so that you can connect with her. This will make the scene more authentic and interesting.
Listen to the other reader and look at him while he's reading so that you can react to what he's saying. Wait until he is done with his line to look at your script for your next line.
React as naturally as possible to the events in the scene as if they were actually happening to you. It is difficult to be completely natural when reading a scene for the first time in an audition, but remember that you will seem more relaxed and natural with each audition.
Keep going even if you mess up. You want the reading to be as smooth and professional as possible.