To make the lavender syrup, place a small pot over medium heat and add the water with the sugar. Cook for 3-4 minutes until sugar dissolves and a light syrup forms.
Remove the pot from the heat, add the agave syrup along with the dehydrated lavender and let stand for 20 minutes so that the syrup is infused and cooled.
In a large pitcher, combine the lemon or lime juice with the water, lavender syrup and mix so that everything blends. Let the lavender lemonade cool for at least an hour in the refrigerator and then serve with plenty of ice.