Yeah, these days it couldn't be easier - or safer. On all systems (that I know of) built in recent years, the bios is flashed on reboot - either via a floppy or an executable file run from within the OS that forces a reboot and then the flash. Pretty much the only danger these days would be if the system is shut down (ie, power failure) in the middle of the process - and even then many bios update utilities are so well written that they can - and will - self correct on reboot.
My major fear at the time was that the floppy disk I was using could be corrupted. out of about 12 disks I had examined it was the only one that didn't have any bad sectors.
For my current PC, and I believe many other newer PCs, they often feature a "dual BIOS" feature, whereby there are literally two BIOS chips on the motherboard- if a flash fails for whatever reason, the second BIOS (which I don't think you can flash, since it's an emergency BIOS) takes over, and then you can try to either revert the first chip to the previous version or try to flash the new version again. So even the worst case scenario is pretty timid.
Of course, just like with updating any critical software like an Operating System or driver, it's usually pretty silly to update just because.