It prohibits the interstate trasnport of animals listed under this act as "Injurous". This prohibits them from being imported into these states, or imported from anywhere else in the world. This does not stop them from being exported or kept locally under certain state governing laws and city ordinances.
It means you can have the snake if your state and city say its ok - but you must get the snake from within your state. If you are then in the military and are forced to relocate to a different state, you're new "pet" snake must then be left behind in the state of your current residence or sold to another person within that state, again not to allow the snake to cross state lines. Current species on the list already include: Burmese, Indian, African Rock, Yellow Anaconda, and South African Rock.