Assuming this is a Star Trek-style transporter, the original you is scanned, the data of your exact composition saved, and then your body is broken down into it's individual atomic components. Then, at the end point of transport, a new body is assembled using those elements and placed into the exact same configuration as your original form. Star Trek always conveniently ignored the fact that there is no known way, even conceptually, to maintain your consciousness through such a process. So the person who comes out on the other side of transport is technically not you, but rather an identical copy of you, with identical copies of all your memories, thoughts, and feelings. But from your personal perspective, your life experience would end the moment transport is energized with you on the pad. Your duplicate's life would 'begin' at the transport exit location, but he would be unable to realize it because his brain would be a perfect reconstruction of your brain at the moment of dematerialization, and as such he would possess all of your memories.