What a cartridge actually is
A "round" or cartridge is the complete unit of ammunition you load into a firearm — not just the bullet. It has four parts: the case (the brass or metal shell that holds everything together), the primer (a small impact-sensitive cap at the base that ignites when the firing pin strikes it), the powder (the propellant inside the case that burns rapidly when the primer ignites it), and the bullet/projectile (the part at the front that's actually launched out the barrel). When you press the trigger, the firing pin hits the primer, which ignites the powder, whose rapid burning creates gas pressure that pushes the bullet down the bore and out the muzzle. The case stays behind and is ejected. Note the common-usage trap: "bullet" technically means only the projectile, but people loosely call the whole cartridge a "bullet" — know the difference.
Calibers and cartridges
Caliber refers roughly to the diameter of the bullet (e.g. .308 inch, 5.56 mm). A cartridge is a specific, standardized combination of case, caliber, and dimensions with a name (e.g. ".308 Winchester," "5.56×45 NATO," "9mm Luger"). The crucial safety point: you must use exactly the cartridge your firearm is chambered for — it's stamped on the barrel or receiver. Using the wrong cartridge can be dangerous or destroy the gun, even if a bullet looks similar. When in doubt, match the marking on your firearm exactly and ask a knowledgeable person.
Reading a box
An ammo box tells you what's inside: the cartridge name (must match your firearm), the bullet weight in grains (gr — heavier bullets behave differently downrange), the bullet type (e.g. full metal jacket for practice, hollow point or match for specific uses), the round count, and sometimes the muzzle velocity in feet per second. For now the most important line is the cartridge name — buy exactly what your firearm is marked for. The weight and type matter more as you advance (and the app's ballistics tools use them). Store ammunition in a cool, dry place away from heat and moisture.
Duds and squibs — respect the rare malfunction
Modern ammunition is very reliable, but two ammunition malfunctions are worth knowing now. A dud (failure to fire) is when you press the trigger and nothing happens — keep the muzzle safely downrange, wait several seconds (in case of a delayed ignition), then carefully unload it. A squib is more serious: a much quieter/weaker shot or odd sound that may mean a bullet didn't have enough power and is stuck in the barrel. If a shot ever sounds or feels weak or wrong, stop immediately and do not fire again — firing another round into a barrel with a stuck bullet can destroy the gun and injure you. Unload, and have the barrel checked. These are rare, but the habit of stopping when something seems wrong is important from day one.