Banshee can have the browser hidden or shown, depending on your preference
Banshee's current release is 1.8, the same one in the repositories, so open Software Centre and search for "banshee". You'll need the first hit, so click it and press install. Once that's done it can be launched from Applications > Sound and Video > Banshee Music Player.Once Banshee is running, you can even set it to show in the volume control; just go to the preferences and click "Show Banshee in the sound menu".
The forté of Banshee however, comes with the extensions in the preferences. There is already a huge range of options and there'll be more to come with the next Ubuntu release. Rather than telling you which to choose I'll leave it to you to see what works best.