+1 to Bill Kapaun's advice.

It's a low end model hybrid. Depending on your duties for it, there's nothing wrong with continuing with it in service (ie. winter commuting, campus bike, beater).
The wheels are likely machine-built. That means suspect tension, no stress-relieving. More often than not, the cause of spoke breakage due to fatigue.
If the rear hub and rim passes mustard, you can replace the broken spokes and have the wheel properly re-tensioned. A few more spokes will probably break in the process. But the final result should be a wheel that's more reliable.
If you can't do this yourself, then the negative is the labor cost. Varies depending on your location and lbs.
Getting a new freehub rear wheel means a stronger design, new spokes, and rim. But you will have to spring for a new cassette. Caveat: the wheel will likely be machine-built. The same flaws can be suspected from it. So, you'll still require the wheel to be checked and re-tensioned before putting into service. I would also check the cones for proper adjustment of every new wheel too.