My aloe vera has had a rough life, and I thought for the past year or so that it was on the rebound. It's been growing quite a lot after having had too much light and growing thin the year before. As of recently, its leaves have become very round and bloated, and squeezing them with my fingers, they feel inflated like they're filled with air. I cut a few of the leaves open, to find that they're filled with tiny air bubbles. Is there a way to treat this? What is possibly causing it? All the leaves are this way. My other aloe plant also has many leaves like it.

Looks normal to me. Aloe Veras generally have fat leaves (all that fluid inside is what people like to use in medical products and whatnot).

I'm no aloe expert though, so maybe one of the more experienced growers will see something I'm not seeing.

Can we see a shot of the whole plant?

Unless you live where I am at, 'too much light and growing too thin' do not belong in the same sentence when it comes to most Aloes - but especially Aloe vera.
Growing too thin is usually an indication of too little light not too much light.