Simple, talk to the NPC's (non-player characters) with the yellow ! over their head. They are the ones that give you quests. There are also things that drop off mobs that will sometimes give you quests.
Do Quests.
Kill stuff, do quests and chat
Yes, World of Warcraft is violent - but the violence is not explicit and it not the only thing in the game - there are quests and professions that are not violent.
As of Patch 3.1 of World of Warcraft, there are no longer any "daily" quests in Wintergrasp. They've been moved to being "weekly" quests. There's a lot of information about the quests in Wintergrasp, including the random weekly quest players will want to hunt down. See the link to WoWWiki's page on Wintergrasp Quests to get the full deal.
You get experience by either killing monsters or doing quests.
You must do a lot of quests and go to Raids and Dungeons!
Humanoids drop gold when killed, and it can also be obtained from chests and quests.
You need to be level 70, and have your epic flying training.
Probably do daily quests or heroic instances :)
Generally, the quests you do in Brill will lead you to quests in other zones that are good for you as you continue to level up. In this case, Brill quests will lead you to The Sepulcher in Silverpine Forest, which is south of Tirisfal Glades.
There are yellow exclamation points on your mini map that show where all the quests are in your area
You must follow the quests. When you are lvl 58 you should be finished.