Hello Leah!
I have great news for you! Walt Disney World Resort has plenty for a two year old to see and do. We've been bringing our kids since they were both infants. It's so exciting to watch them experience the magic of Disney.
There are many attractions for your toddler to experience. If you're like us, Magic Kingdom Park will probably be where you'll spend the majority of your time. Our kids have always loved Peter Pan's Flight, it's a small world, and Jungle Cruise. There are also great areas like
The Boneyard at Disney's Animal Kingdom Park, which give your child a chance to run around and play. It's a great change of pace from lines and sitting on rides.
I definitely suggest you bring your own stroller, if possible. While you are able to rent strollers at the park, we've found they are not as comfortable for younger children and you'll want the under-seat storage in your stroller for extra clothes, diapers, wipes, and all of the other toddler gear you'll need.
My biggest suggestion is to make sure you allow for plenty of downtime! We tend to take a break from the parks in the afternoon for a swim and nap. Even if your child isn't a napper at home, it still makes a huge difference when they can get away from the stimulation of the parks for a few hours. And take full advantage of the resort pools! Our kids could spend the entire vacation splashing and playing at the pool.
I am running out of room! I could go on for days about how awesome Disney World can be for toddlers and preschoolers. Definitely come back and ask me some more questions about your magical trip!