I had both eyes done about two years ago. I too insisted on being able to see long distance. They corrected my eyes to the point that I too can pass a drivers test without glasses, but as stated I wear a 1.75 magnification dollar store reading glasses when at the computer. Without glasses I am actually better then 20/20 in one eye. The other is just a but off.
As for the shooting part. You will see the target wonderful. The sights you might find just a hair blurry when you focus out there. But you will get used to it. And you will really see a benefit when shooting with a scope.