"Open ground receptacles, covered by GFCI" Need help from you amazing electricians.

First of all, not an electrician, I think you guys are amazing, I work in health care. So the home inspector says: "Ungrounded outlets all over the house, but no worries, the GFCI covers it at the breaker."

I can't wrap my head around this, trying to buy this house but I think the contractor is taking us for a ride. Advice would be really appreciated.