Two basic types of pistol shooting techniques; precision shooting, involving focus on sights (specifically front sight post) and point or threat-focused shooting which involves focusing on the target.
In precision shooting, the shooter lines his sights up, with the front sight post centered and level with the rear sight notch. In taking courses at Sig Sauer Academy, the instructors had an easy to remember mantra of "float the dot, shoot the shot". It means that most people instinctively center a front sight post, and not to spend excessive amount of effort trying to achieve a "perfect" sight picture, as it can interfere with your trigger pull. In precision shooting the target should appear blurry or out of focus; only the front sight is crystal clear. Most shooters close their non-dominant eye during precision shooting, although some people can precision shoot with both eyes open. One method to discovering which eye is dominant is to pick a distant object, like a clock across a room and look at it. Hold your hands at arms length and form a diamond shape with the web of your hands, with the object centered in it. Slowly, and without thinking about it, pull your hands back towards your face. The diamond should naturally gravitate towards your dominant eye. If you are righty, and you are right-eye dominant (as most righties are), no problems. If you are cross-eye dominant, meaning you are left eye dominant, but right-handed, it shouldn't present too much of a problem, especially with a pistol; simply leave the pistol in your dominant hand and use your dominant eye.
In point shooting, body kinesthetics and focus on the target (or threat) are the most important aspects. Simply put, if you can lock your arm at an object and point at it, keeping both eyes open and focused on your target, you can hit it. This is especially true at the close distances that most real-world pistol gunfights occur (usually less than 7 yards). In real-world gunfights the adrenaline dump and loss of fine motors skills associated with high stress, most shooters have difficulty breaking their attention from the threat and putting focus on their front sight. But each method has its uses and pistol shooter should be familiar with both.