I would have to say NO…but read on.
Starting out in photography we all do the same regardless of who we are and where we end up. First we buy an SLR with a kit lens or two, then a UV filter, then a polarising filter. Why? I have no idea, I would love to hear your thoughts.
So are UV filters any good? What do they actually do? UV filters are designed to filter Ultra Violet light (funny that, wonder where they got the name from) which was an issue with some film types back in the day. In the days of digital and modern film, UV is no longer an issue so instead the filters are used as an inexpensive form of protection.
UV filters are great for protecting the front lens element but buying a cheap filter can have an adverse effect on your photos. The guys at LensRentals.com posted an excellent article that really shows the difference between the cheap and more expensive UV filters. Read the post here: UV Filters.
As I am predominantly a landscape photographer I tend to use ND graduated filters. This mean I have to screw an adaptor ring onto the end of the lens, add a filter holder and then slide in the filters. This really adds up so adding any additional thickness such as a UV filter is likely to cause vignetting issues. I suggest if you use any other type of filter don’t bother with a UV filter. However if this is not the case, go for it but be sure to invest a bit of cash. The more expensive filters are colour neutral, optically true, and are design with a special coating to reduce additional lens flare.