As far as interface goes, the iOS version is very similar to the Android version. One of the only differences is that the Android app lets you swipe between screens, while the iOS app (shown here) only gives you buttons to let you jump around.
Published:Caption:Jaymar CabebePhoto:Screenshot by Jaymar Cabebe/CNET
With either a long-press or a tap on a menu button, you can add songs to playlists or collections. Unfortunately, doing so takes you to an Add screen, when a simple inline "+" button would probably work better.