Christie, the Lilies you received are most likely Orientals 'Casablanca'. They are very common and cheap. You can buy their bulbs at any big box store locally in spring or fall. This is a hybrid Lily and it will not come true to type from seeds. Besides, it is virtually impossible to collect seeds from the cut flowers. Also, Lilies bloom once a year. The regular time for Orientals to bloom is July. Your Lilies were forced to bloom in June. So you will not be able to "have lilies like this on your kitchen table daily".