Welcome to Flyertalk!
You'll find thousands of people here who love to travel; we hope you'll be joining us in the air and in exotic lands soon.
Making and saving money a little at a time can certainly fit into your breaks as a student. If you get paid in gift cards, you have to figure out how to convert them into travel funds, which may lead to losing some value; you may be able to sell a $10 gift card for $8 in cash, for example. You need to decide if the time it takes to earn the gift cards is worth it.
You may get some people urging you to get credit cards for mileage bonuses. Be very careful with that approach, as it is easy to let credit card debt get out of hand.
Hope this is the start of a lifelong adventure with travel.
Cheers,
Doc