No, that's called a "single twin tube" bulb.
It's an early style compact fluorescent bulb that was used in the
Before compact fluorescent bulbs came with screw type Edison bases, they
had a different base which you can see in these pictures:
So far as I know, you simply pull the old bulb straight out and push the
new one straight in.
I've seen these kinds of bulbs for sale at Home Depot, but you should be
able to buy them at any lighting store.