Hiya, Bellachix
Your Corolla is a tough (not so little anymore) car. I've owned several and never had to replace brakes on any of them with as little as 25000 miles on the odometer. However, that isn't to say it can't happen. If you habitually drive with your foot on the brake, drive primarily in mountainous terrain, overload your car, haul a trailer, or are an active member of the "Use your own Corolla" racing team," then yes, you could need new brakes. If you are, however, just the average Joe or Josephine and none of the above conditions sound like anything you do, then chances are something is rotten in auto land.
Taking advantage of cheap oil changes is a good idea for your pocketbook, but you should remember that some shops that offer these discounted services are, sad to say, often looking to get your car on the rack so that they can find, or in some cases invent things that they can fix. They pray on naive folks like your self and at some time in our life we have all fallen victim to them.
If you're really worried about this, take your Corolla to someone knowledgeable about cars (and most especially brakes.) Yes, even a Toyota dealer if need be. Have them take a look at the brakes and ask them for a written statement to confirm their findings. Make them take you into the shop and show you what needs to be done and why. If it turns out that your brakes really do need replacing then don't procrastinate too long before having the work completed.