FOB destination is the common designation in US industry for a contract that includes the price of the freight. The receiver will not be getting any freight bill, the freight charges are covered by the shipper/seller. The seller will invoice the receiver for the price of goods only, (yes, the cost of of freight is built into the total cost).
FOB source (or origin) is used to denote a contract where either the seller will invoice the receiver for the goods and also show freight as a separate line item on the billing, or the seller will invoice the receiver for the goods only and the shipping company will invoice the receiver with separate bill for the freight. Or the receiver will arrange the pick up of the goods separate from any other agreement with the shipper.