This is a profile of most of the common mobs and monsters you will encounter. (Note: Not all mobs will be mentioned, especially those added after update 1.12)
Creeper: Walks up to you and explodes. Kill it with arrows, and don't get too close!
Zombie: Walks up to you and attempts to hit you and break down your door. Kill it with swords, arrows, or axes.
Skeleton: Shoots you with arrows. Kill it with a taste of its own medicine for an acheivement.
Pig: Passive mob that walks around. Kill it for pork.
Enderman: Teleports around, making it hard to hit. Try and hit it with a sword under a 2-block-tall roof. Don't look it in the eyes!
Chicken: Passive mob that lays eggs. Drops feathers and meat.
Sheep: Passive mob that can be sheared or killed for wool, used to make beds.
Cow: Passive mob that goes moo. Drops leather and beef.