You are entitled to the cost of rent and utilities, not sure of the exact amount for Kingston, you,re clerks will have a list. Your heat, hydro, basic cable, internet and phone will all be covered under your entitlements. If you so wish you can also claim your cellphone, if you are not getting a landline phone, up to about $33-$35 a month. You also get separation allowance and an allowance for meals, but again check with your clerks they can give the most up to date info.
I had to come to Kingston briefly on IR last summer, now my family is hear, and would not recommend a month to month rent. There are two or three hotels that offer weekly rates, about $450, which exceeds your monthly entitlement for living expenses. The few month to month rent accommodations that are available are in fairly rough shape and not in the best neighbourhoods. From experience I would recommend a year lease as you will find much better accommodations as well as the possibility of bundling your utilities in with your rent which makes the claim process easier. Hope some of that helps.