As a swim instructor and coach, I can tell you Swimming lessons are of minimal value before age 3.
If she loves the water---great! Take her to the pool and let her play. Swimming assistance for very small children is good if they are afraid of the water. Before age 3, there is very little in the way of swimming skills that can be taught and retained.
edit: ok, several people disagreed with me...and that's OK. I personally, would not spend my hard earned dollars for someone to try to teach swimming lessons to MY one year old. Who already loves the water! Yes, Lovinlily said dd loves the water....you cannot get a one year old to follow large motor skill commands....but you are welcome to spend money to try, folks. Re: you must have them float if the fall into the pool: why would any parent ever leave their child unattended by the pool. You'll be spending the money again in 2- 4 yrs. for lesson when they can follow instructions. Oh, the reason for the many drownings in Vegas, is not the "swimming ability" of babies, but the lack of supervision of the parents. Just my expert opinion of 22 years in the industry.