I wonder what the design decision was for the forward-swept wings. These typically decrease lateral stability and increase structural weight, because they require substantially higher stiffness for flutter-resistance compared to straight or rear-swept wings. Maybe so the main wing spar can be further aft to have a larger contiguous payload bay. The HansaJet had forward-swept wings for a similar reason (no main spar in the cabin).
I would think it's got to do with spanwise flow. The forward swept design brings the spanwise flow toward the fuselage and allows for more effective control of the ailerons when traveling at transonic speeds like can be expected from a "drone/missile/UAV" like this.
It also allows for a reduction in vortices formed by the wingtip which would increase drag and decrease efficiency. That means you can get away with a smaller wing, decreasing weight and either increasing your payload or maximum range.
If it were beneficial in total, most transonic planes would have it. The only aerodynamic advantage over backward swept wings is higher manoeuvrability, which isn't a priority here. This isn't a dogfighter. My money is still on better payload distribution.
more effective control of the ailerons
Not sure what that means. I don't think agility is a priority with a jet-powered drone. Or benign stall characteristics.
reduction in vortices formed by the wingtip which would increase drag and decrease efficiency
That is negligible. We know how to reduce wingtip vortices, and reverse sweep is not the answer. Raked wingtips as used on the 787 and the larger-wing versions of the 777 and the 777X are optimal for transonic flight. Blended winglets are a close second, as used on the A350 and A330neo. Again, not forward sweep.
This thing also does not look very refined aerodynamically, and there are many more things that could be done to reduce drag that are much cheaper. Wing-body fairings come to mind to reduce interference drag, or winglets if you really want to go there. This has all the looks of "Eh. Good enough. Send it!", which makes sense given the urgency.
I think the difference between this and a regular cruise missile is that this has manual control and can be more than just a explosive payload delivery system. A cruise missile usually has an assigned target that when fired it will fly to and hit, this can do more complex things like reconissaince.
It's a bit of a grey area honestly. I believe I saw that this UAV can carry a 10kg payload. In contrast to Storm Shadow/SCALP EG, which delivers a 450kg dual stage warhead, it's hard to classify this directly as a "cruise missile". It's possible that there will eventually be a settled terminology for this classification of range and payload that makes more sense, since the use case and application are very different than traditional cruise missiles.
Only if it's meant for a single one-way flight that ends with a big kaboom. Presumably since they're calling it a drone it's meant to fly somewhere, do something (deliver ordnance or just surveil an area) and come back for refueling, repairs, and redeployment.