Below is Taken right out of the CARs with regards to renumeration for flights. As my understanding of the Air Cadet flying program it is administered under Transport Canada and not The Department of National Defence. That being said unless you have a commercial licence (and from my experiences with Cadets these are few and far between) you cannot receive pay for being a pilot. There is however the paragraphs about reimbursement which could apply. (ie your squadron pays for the Aircraft rental and you fly it.
Oh God I am Quoting CARs (Flash back to Air Law with Mr Bruce)
401.28(1) No holder of a private pilot licence shall act as the pilot of an aeroplane or helicopter for hire or reward unless the conditions set out in subsection (2), (3) or (4), as applicable, are met.
(2) The holder of a private pilot licence may receive reimbursement for costs incurred in respect of a flight where
(a) the holder is the owner or operator of the aircraft;
(b) the holder conducts the flight for purposes other than hire or reward;
(c) the holder carries passengers only incidentally to the purposes of the flight; and
(d) the reimbursement
(i) is provided only by the passengers referred to in paragraph (c), and
(ii) is for the purpose of sharing costs for fuel, oil and fees charged against the aircraft in respect of the flight, as applicable.
(3) The holder of a private pilot licence may receive reimbursement from the holder's employer for costs incurred in respect of a flight where
(a) the holder is employed on a full-time basis by the employer for purposes other than flying;
(b) the holder accepts remuneration for flying on the employer's business only when the flying is incidental to the execution of the holder's duties; and
(c) the remuneration
(i) in the case of an aircraft owned by the holder, is paid at a rate based on distance travelled or hours flown that does not exceed the total of the holder's direct operating costs and the fees charged against the aircraft in respect of the flight, or
(ii) in the case of a rental aircraft, is a reimbursement that does not exceed the total of the holder's rental costs, direct operating costs and the fees charged against the aircraft in respect of the flight.
(4) The holder of a private pilot licence may receive remuneration from a charitable, a not-for-profit or a public security organization in respect of a flight conducted by the holder as a volunteer for that organization where the remuneration
(a) in the case of an aircraft owned by the holder, is paid at a rate based on distance travelled or hours flown that does not exceed the total of the holder's direct operating costs and the fees charged against the aircraft in respect of the flight; or
(b) in the case of a rental aircraft, is a reimbursement that does not exceed the total of the holder's rental costs, direct operating costs and the fees charged against the aircraft in respect of the flight.