Preheat an outdoor Grill to medium-high; about 425˚F.
Brush grill grates with oil.
Drizzle olive oil over slices of zucchini and season with salt and pepper.
Grill zucchini for 2 to 3 minutes per side, or until tender and grill marks appear.
At the same time, grab a grill pan and combine tomatoes and corn inside the pan; drizzle with a tablespoon of olive oil and season with salt and pepper.
Set grill pan on the grill and cook, stirring frequently, until tomatoes and corn are charred; about 2 to 3 minutes.
In a salad bowl, whisk together 3 tablespoons olive oil, lemon juice, garlic, oregano, salt and pepper.
To the bowl, add zucchini, tomatoes, corn, and arugula; toss to coat with salad dressing.
Top with crumbled cheese and serve!