Is a water proof jacket ok? I find a lot of girls and boys wearing fleece jackets instead though (which makes me uncomfortable on the slopes). Should I buy a fleece jacket instead?

Also, where can I get cheap water proof gloves? (nothing over $10 please, my parents aren’t willing to spend that much)

The keyword in your question was cheap. You cannot buy cheap in this industry or you will never be warm. If you want to want to be warm you need to buy Under Armour brand clothing. If you buy cheap stuff I guarentee that you will be cold.