Will a parakeet/budgie die if it swallowed pool water?

Although you should watch out for pneumonia in a totally soaked parakeet, birds swim in and drink chlorinated water often, and although it is not usually fatal to them, it can cause heart disease, liver failure, and in females disformed or bound eggs. This is usually prolonged exposure in larger birds, however. In a tiny bird like a budgerigar, it is probably more toxic, but with rest, food, and water, he may be just fine. Good luck :)