The time I spent in Virginia was primarily going to and from DC, but I did spend a considerable time at Arlington National Cemetary on one of my first visits. I knew a few things about Arlington before my visit - that it is primarily a cemetary for members of the US armed services, that it has the Tomb of the Unknown Soldier, and that John F. Kennedy is buried there under an eternal flame.
I hope to visit more of the state in the future.