No no. Monk Parakeets (http://en.wikipedia.org/wiki/Monk_parakeet) (Myiopsitta monachus) aren't the same as budgerigars (http://en.wikipedia.org/wiki/Budgerigar) (a.k.a. Budgies, Melopsittacus undulatus).

The term "parakeet" is actually a very general term used mostly in America that doesn't really denote anything from a taxonomic point of view. It basically refers to any small parrot type bird with a broad tail.