If you want to type a lot you do need to learn how to touch type. Everyone makes typos, and I've already made like 3 or 4 typos already just typing all of this up. But me taking the time looking down at the keys would take far more time then me going back to fix the typos.
The only time when I look/glance at the keyboard is when I'm setting myself up (I don't really have to set myself up, I just want to make sure I guess), and when I'm typing numbers, (I'm on a laptop so I don't have a keypad off to the right, but if I did I could use it without looking), as well as keys I almost never use. But other then them, I'm never looking at the keyboard.
OH! And I also look down when typing one handed (like when I'm eating or something). I have to look down because my left hand doesn't type on the right side of the keyboard, nor does my right type on the left, it's a system and if it's broken something bad happens. XD