Visit city hall and ask to read the animal control (animal services, or other names are possible) by-law. Sit down and read through it, skipping the sections on dogs and cats but paying close attention to anything related to prohibited animals, and the definitions (at the beginning) of any related terms.
Or for the simple way, go to www.ontarioherpers.org
and check out the laws section. Peterborough by-laws are listed there, and apparently venomous species (and crocodilians) are prohibited. No surprise there. You can download a .pdf version of the text of the by-law to find out the details.