BTW, it's not a noobish question at all (and those are fine anyway). The vast majority of guitar effects run on a single-sided supply.
I would actually be interested to know why this circuit was designed with a bipolar supply. Usually this is to increase headroom, but to my ears the Gristleizer has very low headroom - the opamps distort quite readily (though I use a bass with a built in preamp, so the output is hot). This means that, using a single 9v supply, the circuit would be even more distorted, but I don't really understand why it's like that.
The gain of the first stage is 11, which I guess is kind of a lot. Seems like maybe different values could be chosen for the resistors around IC1/1 to cut this down a bit. Just thinking out loud here...