is telus speed test the same as google speed test?

I do not have access to Telus's network to confirm configurations, but many years of dealing with ISP's from a personal level to a business level and locating problems on their side for them to fix, myself, and many other technical guru's have shown over the years that speed tests sites like Speedtest.net have priority traffic with in ISP's networks, and it makes sense, as those speed test sites are hosted with in the ISP, so you are remaining with in their networks.

It is always good to choose several sites with in an area from different providers to get a more general idea about speeds, and then if possible, find some of the lesser known speed test sites to do file downloads from to see your speeds and compare.