Are you still allowed to go into the office anyway? If they are not letting you go in to work and expect you to work at home but you can't, that's their fault really. You're willing to work it's just that they are not letting you work in the environment that is meant for you to work in. That said, the law tends to side on the companies so chances are that legally they can do it. Sucks though.
The concept of snow days for work is foreign to me though, even in college they don't get snow days here. I do miss those and am jelly, tbh.

For my particular department when there's storms it's often more busy so sometimes have to call in someone to work some OT. This year has not been too bad though, it's been quiet.