Preheat a gas or charcoal grill on medium high heat.
For the nut seed mix, combine the almonds, sesame seeds, cumin, salt and pepper.
Trim the bottom of the stem off the bunches of broccoli, so it is about 3-4 inches long. Then slice the broccoli lengthwise about 1/2-inch thick, so you end up with what looks like mini trees with some flat sides.
In a small bowl, combine the olive oil, lemon juice, garlic powder, red pepper flakes, salt and pepper.
Pour the lemon marinade over the broccoli. Toss it, so it is completely coated.
Grill the broccoli 3-4 minutes per side until it is charred at the edges and is crisp tender.
Arrange the grilled broccoli on a serving plate and sprinkle with the nut seed mixture and lemon zest.