When you say going for your birthday... do you mean going on that day or going on a 1-month trip? unless you're doing the 1-month trip, rent. Nothing is simpler than renting.
You will need at a minimum: pants, jacket, gloves, board, bindings, boots. Unless you buy used, $150 will not get you nowhere.
Rent. And take begginer's lessons. That's the best money you can spend.