Naturally occuring Uranium is, really, not very radioactive. You can even eat it and have it pass through your digestive system without any significant negative impact - there was a scientist who (slightly facetiously) used to do this in lectures to prove the safety of nuclear power and lived to a ripe old age. That said, it's not exactly advisable.

We use it in power plants because it's fissile, not because it's radioactive, it's easier to sustain chain reactions with constant output.

Spent nuclear fuel, however, is extremely radioactive because when we fission Uranium it splits into very radioactive isotopes of Caesium, Iodine, Xenon etc. plus a ton of minor actinides.

I don't think this was uranium glass but a glass vial of uranium that was likely a part of those Atomic Lab kits they sold to kids in the 1940's and 50's.

So long as the glass doesnt have deep scratches or is chipped*