Soak the wooden skewers in water for at least and hour.
Heat your grill to medium high heat.
Cut the salmon into 1 inch cubes and slice 3 of the lemons into very thin slices either with a sharp knife or with a mandolin.
Alternate threading the salmon and the lemon slices on the wooden skewers, about 5-6 pieces of salmon per skewer. Drizzle the skewers with olive oil and season with salt and pepper. Squeeze ½ of the remaining lemon juice on top.
Using a pair of tongs, carefully transfer the salmon skewers to the preheated grill and grill for about 3 minutes on each side until the salmon is almost fully cooked through. Remove the salmon skewers from the grill and let rest for about 5 minutes to let the salmon just continue to cook.
Serve the salmon skewers with the Basil Vinaigrette and extra lemons if desired.
Notes
This would be perfect served over rice with a side of asparagus.