It would be normal to expect higher quotes, if you started with no driving history (from any nation that you were licensed to drive) or started new in Canada. I was in a similar situation back when I moved to Toronto, but my driving experience in India, Drivers License Extract and No Claim Certificate from my previous insurer helped me greatly. Let me elaborate a bit so that you know the nuances, where you can get a great deal of reduction in your premium:
- I got my Driving License extract from India, which was recognized by the MTO in Mississauga and that helped me jump start my G2 and G license, so I got my G1 the first week I landed, G2 in the next couple of weeks and G in a month - This accelerated G2/G license will give you a discount on your premium
- No claim Certificate will help prove your safe driving history (they ask for 2-3 terms generally), if you any records from bad driving behavior, don't show them, which is obvious - This again reduced my premium by, any where between $15-$25 per month
- Tell the insurance company that you will install Winter tires (From Dec 1 - Mar 31) give you a good premium reduction - This did give me a decent discount
- If possible try getting a certificate from a driving school, they charged me $150, but it was worth as it reduced my premium again
- If you are not using your car for Office / Work commute, as you mentioned, that will again reduce the mileage and give you some more discount
- There is one final thing that would reduce your premium, this is the app that insurance companies want you to install on your mobile - This will greatly reduce your premiums over time - I have reduced my premiums between 23%-38% per month with this, give me a DM if you want to know the trick

Besides, there is one
issue with the Postal Code, if you are in the Mississauga, Brampton, Markham, Scarborough, some specific high risk regions, your basic premium is going to shoot up $200-$250, it may be hard to believe, but I have experienced, most people would concur. Hope it helps.