This stalky favorite is packed with nutrients and fairly easy for the home gardener to cultivate. And because asparagus is a perennial plant, once a bed is established and maintained, the home grower can expect this popular vegetable to become part of the edible bounty for years to come. A spring crop, the peak harvest generally hits sometime in April. As it happens, this is just about the time an old friend out on the deck begins to beckon. Asparagus? Meet grill.