There are many! First and foremost, easy and freshness of the food is a huge one. When you have a garden right in your living room, your food goes right from the garden to your table. This means higher nutrient density, better taste, and fewer trips to the grocery store.
Second, growing your own food hydroponically is cheaper than buying produce from the grocery store. Third, hydrponic systems use 80-90% less water than traditional gardens and don't require your food to travel to you so it's much better for the environment than purchasing from your grocery store.