Medicare to cover GLP-1 drugs for weight loss for the first time starting July 1. Here's what to know. CBS NewsMedicare is about to cover GLP-1 drugs for weight loss. Here's what to know. The Washington PostSeniors in Medicare are about to get landmark obesity drug coverage — but many may not know it yet CNBCMedicare to Cover GLP-1 Weight-Loss Drugs For $50 a Month: See If You're Eligible TODAY.com