Shooting low/left is normal for many early into their Glock ownership experience. The grip angle is a little different and the Glock doesn't have a 1911 trigger, never has, never will. That said, shooting a Glock well isn't that hard, it just requires some dedication and practice. Limp wristing is common, but not as big an issue as some make it out to be. A death grip is not a requirement.
For a good productive grip, hold the firearm comfortably with your shooting hand, now grip it with the support hand. Too often shooters try to put a death grip on it with firing hand. As the hand wraps around the grip, it tends to twist the firearm to the left (or right for those who are lefties) and pull the nose down. By holding with the firing hand and gripping with the support hand, that left twist is countered and the firearm points as it should. The next culprit is trigger control. Too much finger and the left twist is back. Use the pad of your finger, pulling straight rearward in a smooth steady motion rather than trying to stack the trigger will give you much better results.