With the 2.0 they closed the loophole of allowing off brand single-serve coffee cups so you only use Keurig branded K-cups in addition to ones branded for use in 2.0 machines.
From Wikipedia: The 2.0 has a digital lock-out and technology to prevent old or unlicensed pods being used in the brewer. The Keurig 2.0 K-Cup pods come in 400 varieties from 60 brands, K-Carafe, and K-Mug pods encompass 500 varieties from 75 brands. The 2.0 brewer also has the capacity to brew full carafes in three settings from 2 to 5 cups, via the use of the new K-Carafe pod. There is also the K-Mug pod, a recyclable pod which brews large travel mug–sized portions.The K-Mug pods, for use in the Keurig 2.0 brewing system, brew 12-, 14-, and 16-ounce cups, and the plastic is recyclable.
There is also the K200, a smaller Keurig 2.0 model that can brew single cups or four-cup carafes and comes in a variety of colors.
So if your son wants to be able to shop around and not have to use K-cups the 2.0 would not be the best option.
You might go to a store like Bed, Bath and Beyond or Walmart to take a look at the single serve coffee machines available.