We, as employees, can travel right away in commuter status like CassinAK mentioned. I flew home to ANC every break I had in training (including the first weekend), several times jump seating because I wanted to, but also had to a couple of times because the flights were full. (I could have flown on Delta and had a whole row to myself, though!)
Flying in commuter status gives you higher priority but the only positive space tickets were to start training and when it was over.
The 30 day limit is for your family flying standby.