The device is a dual-gate RF MOSFET not a BJT. It has a very high input impedance so it does not load the feedback path in the oscillator. The 47 Ohm resistor being to give some isolation of the gate(s) capacitance to further reduce loading.
As Frankrose points out, it is a source follower so it has no voltage gain. Adding an identical second stage will not give more output but will increase the current it needs. It looks like the MOSFET is configured to pass (Vled - Vbe)/33 = 30mA which I would guess without a datasheet to hand, is close to it's limit, they are really designed for VHF small signal amplification.
Brian.