Heat a large skillet over medium heat and brown the hamburger along with the garlic in 1 Tbsp of the sesame oil.
Drain the fat and add everything else except the green onions.
Simmer for a few minutes.
In a separate pan, heat 1 Tbsp of the sesame oil over medium heat.
Once hot, add the onions (both green and regular) and cook for 5-10 minutes until soft.
Move the onions to one side of the pan and crack the egg into the pan.
Scramble the egg in to pan, and mix in with the vegetables.
Add the rice, broccoli and 1 Tbsp soy sauce and mix in with the vegetables.
Add the beef and mix in the pan.