Okay, so this GENERAL lied through the early part of her career, as before Clinton’s “Don’t tell ...” policy, recruits were most certainly asked.
Doesn’t sound like the makings of a general to me.
Her security clearance should be revoked and she should be prosecuted for falsifying government documents and promptly dishonorably discharged from the military with some prison time.
Some day there will be a real "first openly gay general," a person who entered once DADT was law or now that it's gone. It'll be someone who played by the rules (unlike Smith) and his or her checkbox achievement will not be noted.