Depends where you live.
Where we grew up (western NY, south of Buffalo, the snowy side of the snow belt), what was on the ground didn't matter - it was what was on the road.
We had to have something like 2 ft of snow fallen between midnight and 6am in order for school to be closed.
Any other time and the plows had it taken care of - roads and parking lots - and life goes on as usual!
For where we live now - snow is not something they get on a regular basis.
They don't have the equipment to handle it and people don't know how to drive on it.
We joke that they close for a hard frost here, which isn't totally accurate but we're not far off.
An hour or so outside on a snowy day can really keep the cabin fever at bay.
Wear a warm jacket, warm boots, mittens (they keep my hands warmer than gloves), and a hood or a hat/scarf on your head and you're good.
If it's windy, wrap the scarf over your nose/mouth to keep your warm breath next to your face and the wind from chapping your cheeks.
When you get back inside have some hot chocolate or warm cider.