Simple and Easy Beef Broccoli

INGREDIENTS
1 1/4 lbs flank steak thinly sliced
1 tablespoon + 1 teaspoon vegetable oil divided use
2 cups broccoli florets
2 teaspoons minced fresh ginger
1 teaspoon minced garlic
1/4 cup oyster sauce
1/4 cup beef broth or water
1 teaspoon sugar
2 teaspoons toasted sesame oil
1 teaspoon soy sauce
1 teaspoon cornstarch
salt and pepper to taste