You might be able to download additional content for the game online, but the bulk of the game is available on the physical media. (engagedfamilygaming.com)
As a part of the release of Hatsune Miku: Project Diva F 2nd, we'll be getting over 10 additional downloadable songs, over 45 outfit modules for Miku, Luka, Rin, Len, Maiko, and Kaito, and free monthly UI skins — meaning that we'll be getting every piece of additional content for the game that was released in its home territory of Japan. (egmnow.com)
And today, Bandai - Namco released the latest DLC Pack, which includes some more additional content for the game... though you have to pay for it, this time around! (perfectly-nintendo.com)