whether you should do it may depend on the power handling of the speakers and whether you want them to go louder or not.
when you bridge it to drive the same speakers (that are presumably 4ohm impedence), each channel will then operate at 2ohm. theoretically this will increase the distortion from the amp. however, it is highly unlikely that you would detect this and should not preclude you from doing it.
if you find the speakers go loud enough already, and that the power on tap from the amp (unbridged) suits the speakers, then there's probably nothing to gain. it'd be like dropping a V12 into a corolla when all you do is drive down to the shops at 60km/h anyway. little point.
however, i'd suggest trying it. most people find they enjoy the added power. but don't be 'tricked' into thinking it IS better if it isn't really; kinda a mind-games thing, where you are hoping for an improvement so you 'hear' one when there really isn't.
what amp and speakers?