You will need apps for your new Verizon Apple iPhone and there are hundreds of thousands to choose from; around 300,000 at a guess with more coming to the market daily. Verizon are keen to market their own VCast Rhapsody app for music and charge you for it, but of course there are other ways to listen to music of your choice via your iPhone.
Some of the most popular apps are, of course, Netflix and the Angry Birds game, but when you are tired of these you may want to download Dropbox.