Building a tabletop fountain or pond is easy. First find a pretty pot. I usually use a ceramic one. Make sure it has no holes in the bottom. The easiest way to get a bubbling noise is to put a tiny pump in the bottom, fill the pot with round pebbles and turn on the pump.
If you wish to be a bit more elaborate, you can omit the rocks, put a couple of indoor plants like spaths or pothos in there, find some pretty larger flat rocks to cover the tops of the pots in the water, and then put a pump in. Make it as elaborate or simple as you wish. Plants around the pot make a beautiful backdrop for your indoor pond. If you wish to put a goldfish in it, be sure to include aquarium filtration and feed your fish, but sparingly. You will need to exchange the water occasionally so don't make it so large that you cannot easily manage to carry it.