The TL06x series is the low power version of the TL07x series (the X on the end denotes the number of opamps in the chip, you can get chips with 1, 2 or 4 seperate opamps, the layouts are standarized so you can usually get away with replacing one dual opamp without another without ill consequences). Using a low power opamp sometimes helps in sections of effects that like to generate noise that can travel into other parts of the circuit (osciallators in tremolo pedals and such), though on its own it has a worse noise rating that the TL07x chips.
Some circuits don't like those JFET input opamps (some oscillators have issues with starting to oscillate) so its handy to have some regular opamps around as well. The RC4558 or LM358 work well enough in this aspect. There are plenty of better chips out there today but these are cheap and work well enough.
The NE5532 is listed as "dual high-performance low noise op-amp", useful is you sometimes want even better performance,. it does however use a lot of current for use a stompbox in the input impedance is a bit low for a bare guitar.