Chinese style broccoli with mushrooms

Name: chinese style broccoli with mushrooms
Cuisine: None

1 large head of broccoli – cut into florets 8 shiitake mushrooms – sliced Half a carrot - sliced thinly 1 garlic clove - minced 1 inch ginger - sliced thinly Half a medium-sized red onion – chopped 2 tablespoons oil Dash of sesame oil Seasoning: 1-½ tablespoons oyster sauce 2 teaspoons cornstarch - dissolved in some water Salt and white pepper to taste