Simmer broccoli in 1/2-inch boiling, salted water in a shallow covered skillet for 6-7 minutes, until tender. Drain broccoli and remove from pan.
Return pan to stovetop over medium heat. Add EVOO and garlic. Sauté garlic in EVOO for three minutes. Add broccoli spears to the skillet and coat them with the garlic oil.
Transfer broccoli to a serving dish and garnish with curls of Asiago cheese.