Students are strongly recommended not to bring a car to school because the Metro is so easy and convenient. Parking in Washington, D.C. is annoying, between actually finding a spot and then paying an arm and a leg to utilize it.
The same goes for CUA parking, more or less. Parking has been a little scarce, given that the undergraduate student population is growing and construction has diminished space for parking. Meanwhile, a parking permit will cost a pretty penny, usually several hundred dollars. Therefore, to make it short and sweet, do not bring your car because it is not worth it.