There are only two pistol events in the modern Olympics; one is the Rapid Fire event, the other is the Precision or Free pistol event. Free pistols are firearms designed specifically for that competition. Not to mislead.... Precision/Free pistol match shooting is part of a much larger venue of pistol competitions known in this country as "International pistol".
In any case, the Free pistol event is shot at 50 meters, using iron sights, one hand unsupported. The target has a 10 ring that is 50 mm in diameter.
The competition is quite leisurely as these things go. 60 shots are taken and the shooter has as long as two hours to take them.
The guns tend to have long barrels (long sight radius) like the Drulov, wrap around grips that help to align the bore with the bones of the arm, VERY precise sights (the Drulov was lacking in both of the last two elements.) and triggers so light that they can be fired by merely relaxing the trigger finger and allowing it to curve on to the trigger lever.
Trigger weight, take up, let off, angle, and more are all adjustable.
The good ones ain't cheap.
Here's a picture of an oldish Free pistol, a Pardini 75:
A "set" trigger, also called a "double set trigger" or a "hair trigger" employs two triggers. Once the gun is loaded, the shooter presses or pulls the set trigger which - this is the part that is hard to explain - "sets" the sear so that only a very light pull is needed to release it.
In the picture of the Pardini above the set trigger protrudes from the front of the olive wood stock, just below the barrel. On some pistols, the set is a lever that protrudes from the bottom of the grip. The Lyman Great Plains Rifle, a muzzleloader, has a traditional two trigger arrangement.