Nothing that much interesting in there.
If you would drive it with just the NPN down to ground and resistor to Vsource, you would get only fast turn on (gate pulled to GND through that NPN, Q2), but rather slow turn off through the source-gate (collector) resistor 470R 1W. To fix that, you would either need to make that resistor horribly low value, that would dissipate a metric shit ton of energy (especially in higher voltage applications)
.. or you just use an emitter follower for the turn-off, and the turn-on still works through the antiparallel E-B diode D3.
What I consider strange (probably a design fail also?) is the emitter resistor of Q2. It is typically use to limit the maximum current it can sink, however in this case that means the turn-on current of the PMos is 44mA maximum. I think that is not that much, considering the turn-off is designed to be quite harsh through the only 10ohm gate resistance + the output resistance (re) of Q3, which with the 470ohm base resistor will be quite small also, so the turn-off current will likely be few hundred mA.
But it might have been intentional, to get a rather slow turn-on, to eliminate some EMI from the buck converter at the expense of higher switching (turn-on) loss. Mind you, the buck conv. will here be likely operating in continuous current mode, so the transistor will turn on with full voltage and current accross it.
There is also a another trick to improve this circuit: You can add a PNP to the follower circuit and make the follower a complementary NPN-PNP pair. Then you do not even need any high currents to operate the gate from the transistor down there, here Q2. It can then be extended to ever higher operating voltages, up to few hundred volts and make it a full bootstrapped driver.
//EDIT: To be clear, I mean the design fail not being in using the emitter resistor at Q2, that is correct, you need to limit the collector current to (value approx (Vbase-Vbe)/Re, where Vbase is 5V from the MCU), but in that fact the turn on current for the pMOS is also limited by it to a rather small value.
If the limit wasn't there and input voltage would become higher than 18V of ZD2, you would burn the shit out of ZD2 (and then the mosfet) if the current would not be limited in Q2)