Mmmhhh... Don't, please, try, please, to, please, play, please, fast, please, shit.
It's useless and it will fucking break your playing, I mean, if you start. Learn your scale and your "fingering". And then practice that. And practice more. And morer. And more than morer.
After that, you'll need coordination, or two hand playing, cause yah it's a piano advantage, you can play like Janne: one hand with no chord/back, but it make the sound poor. try some simple exercice in some magazine and book or video. Don't be stress and don't try to learn too fast, it will not help, take your time and begin by learning like...
Turkish March by Mozart. It's and easy two hands playing thing and go slowly, learn left hand, practice it, learn right, practice it, and after a moment try both slowly and etc, this is what I did.