Place 1/2 cup water and the salt in a large skillet. Squeeze juice from each lemon wedge into the pan, adding the lemon wedges as well. Bring water to a simmer over high heat, add the peas, and cover. Simmer until the peas are bright green, about 1 minute.
Remove the lid from the skillet, and continue to simmer until almost all the water has evaporated, 1 to 2 minutes. Add olive oil and garlic, and salt and pepper to taste; mix well to combine. Cook, stirring often, over high heat until the peas are completely cooked through, about 1 1/2 minutes. Remove the skillet from heat.
Add mint, and toss to combine. Transfer peas to a serving platter, and serve warm.