Archery is a fighting style and is what gives you the +2, the most common fighting styles are:
Archery - You gain a +2 bonus to attack rolls you make with ranged weapons.
Defense - While you are wearing armor, you gain a +1 bonus to AC.
Dueling - When you are wielding a melee weapon in one hand and no other weapons, you gain a +2 bonus to damage rolls with that weapon.
Great Weapon Fighting - When you roll a 1 or 2 on a damage die for an attack you make with a melee weapon you are wielding with two hands, you can re-roll the die and must use the new roll, even if the new roll is a 1 or a 2. The weapon must have the two-handed or versatile property for you to gain this benefit.
Protection - When a creature you can see attacks a target other than you that is within 5 feet of you, you can use your reaction to impose disadvantage on the attack roll. You must be wielding a shield.
