Bring a large pot of salted water to a boil while you prep the zucchini.
Remove the blossoms from the zucchini and take the pistils out, then roughly chop the blossoms.
Slice the zucchini into thick coins.
At some point in here add the pasta to the water.
Heat the oil in a skillet and add the garlic slices, then the zucchini slices. Cook at medium high until the zucchini is golden, stirring so that each side gets cooked. Lower the heat and add the chopped blossoms and stir. Add some pasta water to the zucchini and let it simmer while the pasta finishes cooking.
Put the pasta in a serving dish. Just lift it out with tongs and let it drain from the tongs a bit, then put it in the dish and put the zucchini on top, scraping all the juices from the pan. Sprinkle with the basil and toss gently, adding a bit more pasta water if it seems dry. Taste and add salt and pepper as needed.
Serve with grated Parmesan at the table.