Soak wooden skewers in water in an appropriate length dish, in order to minimize sticks from burning on the grill. Set aside.
Remove shrimp from packaging. Be sure that shrimp is deveined and outer shells are removed. Rinse shrimp over cold water. Pat dry.
In a separate dish, combine juice of one lemon, one lime, olive oil, fresh basil, oregano, garlic, salt and pepper. Mix with a small whisk or fork to combine. Add in shrimp and swish around to coat with marinade. You will see shrimp beginning to turn pink in some areas once it sits in the citrus. Marinate for 30 minutes in refrigerator but not more than one hour to avoid citrus breaking down shrimp.
Preheat outdoor grill (if using grill pan wait until ready to begin cooking). Remove wooden skewers from water and pat dry. Begin threading shrimp onto skewers (about 3 per skewer, depending on size of skewer). Be sure to leave some space in between each shrimp to allow for even cooking. Place skewers on a sheet pan covered with foil and head to the grill. Using tongs, place skewers onto grill. Cook shrimp on each side around 5 minutes. You will see shrimp turning pink and begin to curl. Shrimp is ready once fully curled and some light golden grill marks are visible. Transfer to a serving platter. Enjoy!