Our sister-site TouchArcade has a walkthrough video of some gameplay and some background about how the game actually works.
In fact it's drenched with Star Wars stuff. Every level, bird, and most of the game's mechanics, both old or new, are covered in a thick layer of Star Wars.
Red bird, for example, resembles Luke and has a secondary lightsaber attack that shears through hard surfaces and pigs. The blue bird is now a rebel pilot, able to fire spread shots from its pistol. Levels are set in classic Star Wars backdrops and every time the game introduces a "new" bird, you'll see a classic Star Wars scene starring the birds.
Angry Birds Star Wars is available on iPhone ($0.99), iPad ($2.99), and the Mac ($4.99).