Maybe. If the plant you received is a hardy garden mum, then it can probably be transplanted into the garden and grown on as a perennial, provided the variety is rated for hardiness in your climate. But if you received an exhibition-type chrysanthemum plant, it's unlikely it will survive and become a perennial in your garden. Such plants are often forced into early bloom under controlled lighting conditions, and they don't respond well to being transplanted into the garden. It's best to simply enjoy a gifted mum plant while it's in bloom, then discard it.