No you don't. I have my PE license and I got it for personal development reasons. It was a personal goal of mine, but hasn't helped career-wise. Based on my experience, the best thing you can have is experience (time working on the job) with a proven history of completing projects on time and within budget.
Here are two ways to know whether or not you should get your PE license. First, look at job postings. Do they say a PE license is absolutely, definately, required or does the wording indicate that it is optional or preferred? My experience is that the wording lists a PE license as optional or preferred but not mandatory. Second, look at your coworkers. How many of them have their PE license? If they all do, then you should get your license because this indicates that it is valued by the company.
Getting a PE license is optional, but I would encourage you to get your license becauase it is something that can differentiate your resume from those of your peers when applying for a job and, at least in Texas, both the cost and the requirements for obtaining the license were significantly reduced one or two years ago.