In a small bowl, mix brown sugar, olive oil, lemon juice, garlic, salt and pepper. Pour into glass or ceramic baking dish, just large enough to hold fish in single layer. Turn fish to coat with marinade. Cover and marinate in refrigerator 20 min., turning after 10 min.
Pour off the excess marinade from baking dish into a cast-iron pan or saucepan that can be placed directly on grill preheated to high. Reduce the marinade until heated through and slightly thickened. Remove from grill.
Reduce barbecue heat to medium. Place fish on grill. Close lid and cook 5 to 8 min. per side, basting occasionally with reduced marinade, until a meat thermometer inserted into thickest part of fish reads 158°F (70°C). Serve with remaining reduced marinade on the side.
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