Not too much has been said about the questing in alpha, but we've been told not to expect much, the quests won't be too amazing -
Damaris claims that " they are very basic quests. They're just to test how well some of the systems operate and give the players something to do."
But don't get discouraged... when I asked him about how quest will develop in later versions he answered; "The alpha is an alpha... It's not designed for content.
Real content starts getting developed when we reach the Beta stage and are sure the basic systems are fully functional." ...
"We really don't want to give out too many details, because everything is subject to change." But he promises that the quests will be epic!