A character with this quality is a magician and starts with a Magic attribute of 1.
Every drake begins the game with a Magic attribute of 1.
Since they specifically state "starts with" and "begins the game with", as opposed to something like "gains 1 point in Magic", by the RAW, if you take both, you only have Magic 1 until you buy it up with BP/Karma. As a GM, I might consider giving you Magic 2.