An Oracle with the haunted curse wants to use a bow (and is proficient with it). Does the act of drawing an arrow require the character to draw an arrow as a standard action?
No, Provided you're drawing it from a quiver
When it is talking about stored gear, it's referring to things in your pack, like potions/books/torches/bedroll/whatever. "Retrieve a stored item" is usually a move action that provokes an AoO, and the Haunted curse makes it worse.
Further, Drawing/Nocking an arrow is covered by another action type:
Drawing an arrow (from the combat section):