You can also earn points for other activities, such as logging in regularly, linking your phone and so on.
You can get one delivery for free each week, or pay for extra deliveries with in-game currency.
It's not a completely novel idea -- the very similar Akiba Catcher has been around for a while, for example.
But with Sega's branding, and the fact it's available to play outside Japan, it's an idea that could become a bit more mainstream.
The freemium title came to PC and Mac last year, but launches on iOS and Android devices in the US today.