It's not too easy, but the Milkman Games GoViral ANE that let's you communicate with your Facebook app has detailed instructions on how to set things up.
Read this getting started article:
http://www.adobe.com/devnet/air/articles/goviral-ane-ios.html#articlecontentAdobe_numberedheader_1
I don't know for sure that you get access to the user's photo album, but think you can by using the Facebook Graph API. Here's more information about that:
http://www.milkmangames.com/goviraldoc/com/milkmangames/nativeextensions/ios/GoViral.html#facebookGraphRequest()