In a saucepan, bring the water to a boil. Add the grits and turn the heat to low, simmering and stirring occasionally until the grits are thick and tender, about 10 to 12 minutes. Add the butter and cheese and stir to combine. Salt and pepper to taste. Cover until ready to serve.
In a hot cast iron skillet, add the ham cubes, browning on all edges, about 4 to 6 minutes. Add the fresh peas and sautee for another couple minutes until the peas are just tender.
Assemble: Divide the grits between two shallow bowls. Top with additional shredded cheese, ham, peas, and a pinch of pea tendrils and shoots. Serve hot.