Summary: The child was born with HIV, from a mother with "relatively low viral load", and started on antiretroviral therapy 30 hours later, and continued for 20 months. (While not being breast feed, to avoid reinfection.) Resulting in controlled levels of HIV-1 viremia 18 months after treatment stopped. That sounds like early treatment being more successful, not a cure.

I also don't see a discussion about the potential long-term health issues caused by the treatment, although they do acknowledge the FDA has warnings against using some combinations of ART drugs for infants less than 14 days of age.