Quests
On your adventures you'll encounter countless NPC's who ask of you to help them. By doing these quests you will progress through the map and you will also get to know more about the history of the world and about characters and places.
Quests mostly involve killing monsters, talk to other NPC's, find and collect items, find places, deliver a item or items and solve riddles and/or puzzles. This sometimes requires a certain skill level or requires you to be with more players.
Rewards
Completing quests can reward you with a lot of different things.
What you always get is experience and some money. The following things can also be given as rewards: experience in a skill, armor, weapons, fun items like fireworks, tools, xp tickets and acces to new area's or shops.