is telus speed test the same as google speed test?

The speeds you get will greatly depend on which servers you are testing to. Some servers either have slower connections, caps on user speeds, or they're just plain busy. Testing from a wired computer is the preferred way to test. Wifi can potentially be interfered with.

Google's speed test is a bit flawed. The file size for the tests is tiny compared to what speedtest.net transfers during a test. (942/946mbps) Even file sizes on fast.com are ~700MB for my speed test on a gigabit connection. (950/930mbps) The tiny files on Google transfer too fast so the connection doesn't reach it's full potential.