The problem with the enlistment process is, that your recruiters went through basic training and AIT at a minimum of 6 years ago, and they come up with new rules and new ways to train almost daily. Thats the curse of TRADOC (Training and Doctrine Command) bases (the ones where you do Basic and AIT at). So if you really want to get a better idea of the recruitment process and what happens afterwards, ask your recruiters if they have someone there thats doing the "Hometown Recruiting Program", and tell them you'd like to speak to them if there is one. Chances are they have one or two Privates that just got out of AIT somewhere nearby thats in the program.
I just recently got out of the Army myself, so I know how it is.
If your aiming to be a ranger, thats gonna be tough. You *MIGHT* get EXTREMELY lucky and get attached to a ranger unit, and if that happens they'll almost definitely send you to Ranger school. But if not, then you'll have to really haul balls at your job and show them that your high speed and can handle yourself....then you'll have to talk to your senior NCO's to get the ball rolling to get you into Ranger school.
Its a long road, and if you go Ranger... be ready to re-enlist. You may not be able to get it until you re-up. Its not uncommon for "schools", such as Ranger School/Airborne/Air Assault, to be part of a reenlistment bonus.