Light, of whatever wavelength, is just waves of electromagnetic energy. Infrared light has relatively low energy per photon; ultraviolet light has relatively high energy per photon; but it's all the same KIND of energy. When an object absorbs any kind of light, including UV light, it heats up, as it now has more energy than before.
So, yes, areas under a thinner section of the ozone layer will get slightly more heat from the sun due to the additional light that gets through. However, this is not a big effect and people tend to be more concerned about the more direct ways in which UV light can hurt us (e.g. skin cancer).
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