Traditionally, does the father of the bride receive a gift like the best man and bridesmaids?
No, usually the best man, groomsmen and ushers all receive the same gift, the maid of honor and bridesmaids receive the same gift, and then the two sets of parents receive a gift (sometimes but not always the same as each other) as a thank you from the bride and groom. Because you’re giving the parents a “couple” gift, it’s not necessary to give the FOB a separate gift as if he were in the line of groomsmen.