Spend some time with them in your own system and you will understand.I think he already does :)
What parts are used specifically the GaNFET which is patented.A class D self-oscillating amp will have some sort of converter to convert a square wave to a triangle wave. It will have a comparitor IC to compare the triangle wave to the incoming audio. There may be divider networks to deal with offsets in the comparitor, and the also offsets from the outputs of the input buffer (usually some opamps to give the circuit a little more gain and also increase the input impedance). After the comparitor there may be level switching circuits to put the comparitor output at the right voltage level for the driver circuits. After the comparitor is also where any dead time circuitry will be located. There are a variety of driver devices available- these are used to drive the gates of the GaNFETs without exceeding their range or causing weird oscillations.
Almost all of these parts are available off-the-shelf. Its good that he has a related patent; this is certainly helpful for knowing how to use the devices :) From what I've seen of the specs Alberto clearly knows what he's doing.