Preheat the grill or grill pan over medium-high heat.
In a small bowl, mix 2 tablespoons of olive oil, minced garlic, paprika, salt, and black pepper to create a marinade.
Brush the marinade onto both sides of the ribeye steaks and set aside to marinate for about 10 minutes.
While the steaks are marinating, toss the shrimp with the remaining 2 tablespoons of olive oil and a pinch of salt and pepper in a bowl.
Place the steaks on the grill and cook for about 4-5 minutes on each side for medium-rare, or until the internal temperature reaches 130-135°F (54-57°C).
During the last few minutes of steak cooking, add the shrimp to the grill. Cook for 2-3 minutes on each side, or until the shrimp turn pink and opaque.
Remove the steaks and shrimp from the grill and let the steaks rest for about 5 minutes before slicing.
Slice the steaks against the grain and serve with grilled shrimp on the side. Garnish with fresh parsley and serve with lemon wedges for added freshness.