Since you're new to guns, and nobody has specifically mentioned this yet, I want to share "the 4 rules" with you, with commentary.
1. All guns are loaded. (Whether they really are or not, you can't go wrong by assuming that they are. Assuming they are not has got a lot of people killed and injured).
2. Keep your finger off the trigger until your sights are on target. (The trigger is not where you finger is supposed to permanently go. It's the mechanism you use to discharge the firearm when you want to.)
3. Never point your muzzle at something you don't want to put a hole in. (Don't want a hole in granny? Don't point it at granny. Simple enough.)
4. Know your target and what is beyond it. (Bullets can miss their intended target, or pass all the way through them. You are accountable for every bullet you send out into the world, so you need to where exactly you're sending it.)
Be safe, and HAVE FUN! Oh, and .380 ACP is also called .380 Auto, 9mm Browning, 9mm Corto, 9mm Kurz, 9mm Short, and 9x17mm. If all that is too much to keep track of, just remember .380 ACP or Auto, those names are most common.