If you are cross-eye dominant, there are three things you can do.. learn to deal with it (I was left eye dominant), shoot with both eyes open - which is what I do, or learn the CAR system. This is a video of someone I used to work with employing it. He is left handed, and right eye dominant, but is also just as capable right handed\left eyed.
Since you said you're new, I'd just worry about shooting with both eyes open or teaching your right eye to work for you as opposed to the CAR system. You've got to remember as well that the Glock has a different grip angle than almost any other firearm you've probably held, and again takes time to get used to. It's not a bad thing at all (I shot tens of thousands of rounds through my duty Glock 22 when I had it and loved every second of it), just something to keep in mind. It also was designed to be held with pressure on the ring\index finger and palm, with minimal input from the pinky. It's a common mistake that can cause your shot to drop as I stated before.
If you want to put a lot of trigger time behind it on the cheap, I'd suggest getting a high quality .22LR conversion kit. They're priceless as a training tool, and about the only thing they can't teach you is the recoil, but that's why you also incorporate the main caliber.
The biggest thing is don't get frustrated. Just keep trying new things to find out what works for you, and go with it. A few months or a year down the road, you will look back and laugh at your progress, but you'll get there. Don't forget to get some snap caps and practice dry firing at home with the spent case on the end of the slide and practice your breathing/trigger press. There are a couple dozen variables that come into play each time you press the trigger, and they will take time and dedication to work on.