IMHO, when done properly, with a centerfire pistol, dry firing can be a valuable aid to the pistol shooter. The trouble is that unless you've had good instruction, it might reinforce some bad habits that you then have to unlearn before you are able to improve or progress. Basically though, dry firing will help you identify the mistakes you make with breathing and trigger control. Center the front sight in the rear, place the front sight on a target across the room, a picture or wall switch will work, then pull your focus back to the front sight and steadily increase pressure on the trigger until it breaks. Continue to hold your focus on the front sight, and see if you can detect it jumping slightly to one side of the rear sight notch, which also reinforces follow through. When the shot breaks and the front sight doesn't move, you've nailed it. The bullet will land where the front sight ends up pointing.
As with rifle shooting, practice shooting from different positions, supported and unsupported. When you are able to group your shots in a reasonable manner, try shooting a negative target. This is a target that has irregular cutouts in it, and the goal is to shoot through the cut outs without hitting the target. The purpose of this exercise is that a shooter will often look for a bullet hole to use as a sight reference, in other words he has lost his focus on the front sight, and this exercise makes you keep the front sight focus even with multiple target problems.
Don't get sucked into using a 6:00 hold! When shooting bulls-eye type targets, light conditions will change the apparent size of the target, and the 6:00 hold will result in a shot, or a group, hitting low or high. The center of the target is the center regardless of light conditions, and a center hold on the target makes consistent results much easier to attain. Your windage will also tighten up, as the front sight will have a relationship to the width of the black that is not apparent with a 6:00 hold. Thus, if lets say the front sight is exactly the same width as the apparent size of the bull, holding the center of the bulls becomes quite easy as an elevation error will make the front sight appear wider and a windage error is immediately noticeable as the front sight no longer fits the bull. Remember though to pull you focus back to the front sight prior to breaking the shot. If you ever shoot at a live target with a handgun, you'll be glad you learned to use a center hold rather than a 6:00 hold.