Bullseye first
I started shooting handguns when I was very young, Air Guns, Webly & Scott, in England. These break open barrel Air Guns were single shot, and very simple.
I had no one to show me anything, it took a long time of trial and error to learn the skill required, my first .22 pistol was a Spanish Star, with the worlds worst trigger, like pressing one packed in sand.
But in the end, constant use wore some of the roughness off of that trigger, and I learned to break the shot.
There has been some good advice given here, by some very knowledgeable people, soak it up. In been given instruction by a good shot, is sometime not from a good teacher, if you find one who is both, you have a gem.
You will hear from many "It is all trigger control" whilst this is not exactly true, it is close.
The bullseye discipline I learned most from, in Canada, was known as ISU, .22 and Center Fire, Slow/Timed/and rapid fire.
When you master, or get close to it, in for instance, Center Fire, Slow fire, in watching the front sight, and exerting pressure on the trigger, the gun fires on it's own! It just goes off.
Moving in to combat style competition from Bullseye is so much easier when you can shoot not so bad, mastering the fundamentals has already been said, it then takes you in to IPSC,USPSA and IDPA, shooting from the holster!
Good luck in your journey through your shooting skills, it has given me great pleasure in my all most 75 years, 27th of this month, and I still do well (12th out of 61 in an IDPA match, last month!) if you are going to carry a defensive pistol under your shirt/jacket, knowing how to hit things with it is not a bad thing.