This looks like an Adenium Obesum --- AKA Desert Rose. By many definitions it isn't really a bonsai, because it isn't a woody plant. But they're fun to grow, and you will enjoy it when it blooms.
Some suggestions: Cut that long shoot off close to the fat trunk. Keep the short shoots with leaves and protect them as best you can. When you cut the long shoot, be sure to keep you hands away from the sap, because that can be caustic.
The poor thing might have been kept inside, and that's too bad. If that's the case, introduce it to full sun slowly, over the course of a few weeks. Then just keep it watered and fertilized and stand by for a colorful display of blossoms.
It's a tropical plant, so if you're in a place where you can expect frost at some point, you'll need to bring it indoors for the winter. It'll sulk, drop its leaves, and look like it died. Next spring put it back outdoors, feed it, water it, call it "George," keep it in the sun, and enjoy it.