There are a few different airports you can fly into to get to
Charlottesville, Virginia.

Dulles Airport (IAD)
Probably the most cost-effective from the west coast, and the only
non-stop flight.  It's about a 1 hour 45 minute drive to C-ville from
Dulles, but it's a scenic drive down.
Check Flights  -  Track Fares to Dulles
Car Rentals from Dulles
Driving Directions from Dulles

Richmond Airport (RIC)
More convenient from the east coast, and about a 1 hour drive to
Charlottesville.
Check Flights  -  Track Fares to Richmond
Car Rentals from Richmond
Driving Directions from Richmond

Charlottesville Airport (CHO)
The closest to the ceremony, but it's probably also the most expensive.
Check Flights  -  Track Fares to Charlottesville
Car Rentals from Charlottesville
Driving Directions from Charlottesville