She was a very brave lady to be seen wearing a swimming costume like that,
I've seen (but don't possess) a photo of my grandmother in an equally racy swimsuit, she told me they were knitted. Rather like a modern T-shirt, and yes exactly the same effect when wet. The more modest wore a chemise underneath, like I think these ladies are, but it didn't help much, so not all the gals bothered.
And the dashing gentleman of the period wore similar, she continued wistfully ...