As I stated earlier, Citrus is one of the few fruits that will grow true to type the majority of the time. However, there is a chance that you will get marginal fruit from the tree. The reason is because store bought fruit comes from grafted trees in commercial orchards. A grafted tree is a combination of two trees to make one. They choose a fruit tree with strong, disease resistant roots, but usually terrible fruit...then they choose another fruit tree with excellent quality fruit and take a branch from it....this branch is then joined with the "rootstock" to form one tree.
The seeds from the fruit you buy at the store may give you an exact copy of the fruit you ate...OR an exact copy of the rootstock plant...or a completely different type. It's simple when you compare it to the classic green peas example from biology class...or our own reproduction cycle as well. You never know what your child is going to look like right? Same with a tree.
That being said, the other drawback is you will have to wait several years in order to get fruit from a plant grown from seed. The amount of time and money spent on caring for the tree will probably surpass the purchase price of a small grafted tree with fruit already on it.
Gary, you mentioned the seeds were planted in 1964. When did they first produce fruit?
Last, but not least, there are several cultivars of each and every fruit. Some people love navel oranges above all others, I like Valencias, and some prefer Temple oranges. There are also Pineapple, Hamlin, Blood, and several other types of oranges. You can only be sure you are getting one of the above mentioned fruit by getting a grafted tree.
Look up videos on grafting. It isn't rocket science, but isn't easy either. With some practice, you can grow your seedlings , then take a few small branches from a neighbor/friend/relative whose fruit you love and successfully grat them yourself!