Fuses can sometimes blow because of electricity issues too. Bad power conditions at the place you were jamming, for instance.
When a fuse blows, it breaks the whole power circuit, so yes, it's normal for the amp to not power up afterwards.
Replace the fuse with a new one of the correct rating, and look at the power tubes while flipping the standby switch. If everything is as it should be (e.g. no red plating, shorts, etc.) chances are everything's fine. To be safe, I'd replace the power tubes as well if you have an important gig ahead, for instance.