Well... that depends on what circuit you are going to use to control the gate, but the answer is probably "no, not very much".
Most gate control circuits (and all ICs designed for the purpose) will actively pull the gate down to turn the FET off nice and fast, so you wouldn't need a pull down resistor in that case. If you're intending to design your own circuit to drive the gate, you *could* just have an active circuit to pull up, and use the resistor to turn the FET off again *but only if* you're intending to use very slow PWM (like no more that a few kHz). At the switching frequencies usually used these days, you need to short the gate and source to discharge the gate capacitance in as little time as possible. A quicker turn off means less switching loss.
Generally, you might as well leave the gate-source pull down resistor in place, as it will give some protection of the driver circuit fails or becomes disconnected.
The only case where you might not want to do that is if you where using a "high side" switch (load connected to source) with a bootstrap capacitor - in that case a G-S resistor is simply wasting charge and limiting your maximum on time.