It's definetely not normal. I haven't seen a late model Honda use any oil, unless it's been seriously abused.
Have you owned it since new? What's the history on the car?
Has the PCV system been maintained?
What do the plugs look like? Has a cylinder leakdown been done?

At that rate of consumption you more than likely have frozen oil rings or clogged oil returns in the head.

As for parts, that's difficult, depending on where the oil is actually going.

If it's sludged up, (another rarity) the motor should be replaced, there is no way to get it completely clean without removal and a full overhaul.