I took that beginning Historical fencing class at the VA Academy of Fencing.
Had a great time, but I missed the last three weeks due to 9/11.
Most of it is broadsword, except the last three weeks when they teach you rapier and cloak, rapier and dagger, etc.
The broadsword work is mostly done with shinai in the beginner class.
They teach you standard blocks/parries, and then get into cut techniques.
Also footwork, historical style.
They show you but do not teach you some 2 handed sword techniques, just so you can see how flexible that sword actually was (and how dangerous).
There is also an intermediate class you can take after the beginner class.
Anyways, it's a very enjoyable class, and you'll get a lot of great practice with a slashing weapon.