Would my hands sweat this much if I wasn't wearing gloves?
Hand sweating has been fairly well-studied, both because sweating from the hands is one of the main mechanisms of heat dissipation at higher temperatures and because there is a significant effect on palmar sweating by the autonomic nervous system (the main cause of hyperhydrosis of the palms).

Disregarding autonomic effects (stress response), the single most important determinant of hand and foot blood flow is the thermal status of the body core. Heat dissipation is more marked in the hands than feet, and remains so as temperature increases.

Studies have been done of palmar sweating in extremes of temperatures, palmar sweating changes with aging (decreases), palmar sweating in disease, etc. But what has not been studied is the effect of localized heat on sweating of the palms, which would be of interest to you if sweating was a result of the insulating capacity of the gloves.

What is known about palmar sweating is that it is an ongoing and important process in both genders, at all temperatures, and at all ages. The most reasonable assumption then, given the limits of the literature, is that your hands sweat continuously and steadily at a given temperature, and it is highly likely that you are noticing it when wearing gloves only because the vapor barrier caused by the gloves prohibits evaporation.

The roles of hands and feet in temperature regulation in hot and cold environments
OBSERVATIONS ON THE ACTIVITY OF SWEAT GLANDS WITH SPECIAL REFERENCE TO THE INFLUENCE OF AGEING
Why do I get sweaty palms?