It's pretty hard to give good advice without knowing if you want to go into industry or academia. The job market for computational biologists in industry is tight and problem-specific, and you'll generally need some research experience before you can land a gig -- there's not much computational biology going on that isn't considered "research" (even in industry).

That said, I'd recommend you start off by looking for a programmer gig in a good research lab. It's not as difficult to get one of these jobs because good CS students usually go into other fields, and academic labs are more willing to train. Spend a few years there learning the process of research, and you'll be much better qualified for an industry job. You'll also have a better idea if you really want to pursue computational biology as a career.

Other posts in this thread recommend applying for engineering jobs at biomedical startups (23andMe, Counsyl, etc.) That could be a decent option, but remember: if you're working on the website (or the robots, or...), you're not learning how to do computational biology. So it may not be the best long-term choice if you're interested in the science. Make sure that the position fits your long-term goals.

Finally, the general rule in computational biology is that "biology" is the most important word. From the perspective of a biology researcher, programmers are a commodity -- an expensive commodity, but still generic and interchangeable -- but biologists who know computer science are rare. The only way to ensure long-term success in this field is to be the latter. So regardless of what kind of job you pursue, make sure that you're spending at least as much time learning the problem domain as you are learning about computers. You really do need to become a domain expert. Being a computer scientist isn't enough.