I would imagine just saying “bridge table” is a lot like saying “poker table”, which would make the answer, “it depends”.
It depends a lot on the quality and craftsmanship of the table. Some build tables out of nothing but wood, some add felt with no padding, some make them with felt and padding, some people have acrylic tables made with Star Wars relics inside, so you’d need to provide more information on the table you saw.
In theory I’d imagine a bridge table would be built similarly to a poker table as it should be designed for cards to be pitched/dealt on it, but it may have less need for padding/cushion as you’re primarily holding cards in bridge until they’re tabled, so less need to “peek” at cards or lift them in that way.