I might be off, but she reminds me of an azalea, but the leaves are glossy. So I am guessing Japanese flowering quince. I do have a lot of experience with plants and identification, but I'm no expert. The flower is the easiest way to identify most plants; but you could use the bark or the leaf structure to identify.
Care really does depend on the species and the owner. I would be surprised if it doesn't need to be pruned, bonsai love to be pruned. This really depends on the previous owner. Maybe you could ask who you bought it from? Pruning will encourage growth, but if you like the way it looks leave it be. She does look happy and healthy. You said you just got her, so you might want to let her settle in, before doing any pruning.
Water whenever it dries out practically completely. The soil used, most likely doesn't hold a lot of moisture, so you may need to water every day or every other day depending on the growth rate. A lot of sun and dry hot air, will probably need watering everyday. Also, if she is root-bound, she will need to be watered more often than if she was just repotted. This is why it might be nice to ask the previous owner, or simply to take it out of the pot to inspect the roots.
The previous owner might not want to be completely honest, remember that. There are plenty of books out there, but the internet is much cheaper source for information on bonsai growing and ID. I hope I could help.
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