I haven't used Qlik REST connector but I got it working using apgee.
See if that helps! Using apigee it is easy to see the data.
I've looking deeper in this subject and I've found out a problem calling the process recursively from time to time (for example each day). The access token for the account working with Google API expires and has to be updated once this time has passed.
Do you know a way to deal with this problem. I'm trying to do an automatic process.