While it's true that experience is the only way to 'get used to' something, having the right settings can minimize the effort of it. It should almost be as effortless as pointing at something with your finger.
You will have to go into the settings and adjust your sensitivity to what matches your personal proprioception. The best way I know to do this is to open up the game and then pick a point to look/aim at (if it's a first-person/OTS third person) or a point on the screen to put your cursor if it's something with a static camera. Place your mouse/reticle on that point. Then swing it out for a loop/heart/star shape and try to snap your view right back to the same point based on where it would feel natural. Don't readjust to get there if it's not at the spot, just note where you are actually aiming compared to the target. If you go past it, sensitivity or acceleration is too high. If you don't get there, it's too low. If you are off to either side on a perpendicular line, (e.g. you come from straight to the side and end up too high or low) that's you, and that will just have to come with experience. .