If the bulb is germicidal, mercury filled, with the clear fused silica envelope and not the black light blue, it radiates 254 nm. It possibly has a modest but energetic line near 185 nm depending on doping in the quartz, and will create localized ozone in some small amount . I spent years working in a polymer fiber lab, making biofibers, and I assure you that all three do a nice job on surface virus and bacteria, given enough time. We would have used the lamp to sterilize thin layers as they go down, not the finished product.
The UV won't make it through to the core of the mask, but it will help break down most of the things that cause breath odors.
UVA, not so useful, UVB and UVC, will help.
A few one hour exposures will not harm the polymers very much, after all, one of the tests for the mask design should be degradation in sun light.
I cant endorse reusing masks, but for most polymer and natural fibers not a problem for a few modest irradiations. The afore mentioned quick splash of 66 to 70% alcohol will do far better for you, but the UV will also break down many of the organics that cause odors.
Any other solvent is a bad idea given that some fibrous materials are made with a solution deposition process. You do not want to remove any polymer binders that hold the fiber together.
Good filters are designed to collect pollutants not just at the surface, but to down to a certain depth of the filter material. Hence the reason I state UV helps, but it is not a cure.
My theory is anything is better then nothing, but you must have the right lamp. The lamp you want will quickly give you conjunctivitis, so you need an enclosure or polycarbonate goggles to protect your eyes. Nor do you want to breath in ozone.
If the virus is in a dried organic solution, it might take a very, very long time to kill the virus.
Better then nothing, but no where near 100% effective.
Remember, the surgical mask is designed to stop big droplets. Usually it is to prevent the wearer from infecting others, not to protect the wearer from airborne materials.
Steve