This is the play that the Stars Hollow Elementary School is currently performing; Rory suggests that she and Lorelai might see it as a reward for getting all their Saturday morning chores done. It doesn’t seem as if they ever did, however.
Who’s Afraid of Virginia Woolf? is a black comedy by American playwright Ed Albee, first staged in 1962. It is about a middle-aged couple named George and Martha who have a volatile relationship. A drunken night they spend with a young couple named Nick and Honey reveals a poignant secret in George and Martha’s marriage.
Who’s Afraid of Virginia Woolf? won the Tony Award for Best Play, while its Broadway stars Uta Hagen and Arthur Hill won Best Actress and Best Actor. It was successfully adapted to film in 1966 with Elizabeth Taylor and Richard Burton in the lead roles.
Needless to say, it is completely inappropriate as a play for elementary school children to even watch, let alone take part in. Not only is it unusually long with complex dialogue to memorise, but the characters are utterly vicious to one another. It heavily features alcohol use/abuse, and discusses death, murder (including murder of children by their parents and vice versa), and sexual themes, including infidelity.
It seems too much even for quirky Stars Hollow, so perhaps Rory used it jokingly as a hypothetical activity. It’s definitely a joke by the writer (Amy Sherman-Palladino).