I have a Gold membership and the Beginner lessons should be unlimited. However, when I tried to start a new Beginner lesson yesterday, it asked me to upgrade. It seems that I have an allocation of one lesson per week. Aren't Beginner lessons for Gold members unlimited?
I agree it looks like they should be.

I would try clearing your cookies for the site, restarting the browser and trying again.
If that doesn't work, please write to support@chess.com for help
I have a Gold membership and the Beginner lessons should be unlimited. However, when I tried to start a new Beginner lesson yesterday, it asked me to upgrade. It seems that I have an allocation of one lesson per week. Aren't Beginner lessons for Gold members unlimited?