I dunno how much it's changed, but when I went in (Mar 18, 1985 at Ft Sill, OK), it went like this:
First, you'll arrive at the reception center where you get your clothes taken away, new and much uglier clothes given to you, your head shaved, medical exams, etc etc. The Drill Sergeants at RC are pretty cool, too: when you're waiting in line for chow, they're like "Ok, guys...just stand in a straight line, and don't talk real loud".
After 2 days of thinking "Well hell; this ain't gonna be shit", the buses arrive, to take you to your training unit. Your apprehension level will rise as you see the grins on the faces of the Oh-so-amiable reception center NCOs as you depart.
When the buses pull into the parking lot of your unit, you will see a bunch of guys in BDUs standing around. They, like the DSs at the reception center, are also wearing DS hats. UNLIKE the DSs at the reception center however, none of them appears to be too amiable. Before the bus even comes to a halt, one of the DSs will climb on board displaying a wild-eyed visage that would cause lucifer to piss in his pants with terror, and begin screaming nearly unintelligeably...something about unassing his bus in less than 5 seconds...and at a volume you never would have thought possible from human lungs.
After successfully unassing the bus (keep in mind that you will have your luggage (a duffle bag & 2 laundry bags) in hand the whole time, you will discover that your mind has gone into a coma while you were wishing you were still at home, and you will thus have no fucking clue of that you should do.
*hint* IF you were paying attention as the bus pulled in, you may have noticed that there are yellow "footprints" painted on the surface of the parking lot. Pick a set of them (right up front, don't be a pansy), and IMMEDIATELY make a beeline for them, and drop your shit at your sides, and stand at attention. Do NOT look around at the other clueless assholes that are doubtlessly doing push-ups to the point of muscle failure. *tip* Get that damned duffle bag of your back, and do it as fast as you can!!!! If you don't, you WILL be doing push-ups with it ON your back if you fuck up, trust me.
Anyway, if you're lucky, nobody wearing a "round brown" will notice you. If they DO, they will stop and stare at you, trying to get you to look back. If you have anything resembling a self-preservation instinct, DON'T unless you want to get your upper body in shape in a real hurry.
If you're REALLY lucky, there will be some assclown that thinks he's hot shit, and he'll draw attention away from you. Drill Sergeants love to put the smackdown on tough guys, but they'll have him chewed up and spat out pretty quickly, so mr assclown will be only a temporary reprieve, at best.
Once the Drill Sergeants have had their fill of terrorizing you all, which may take awhile since they seem to enjoy it so much, you'll have a roll call (answer up quickly and LOUDLY), and you'll be split up into your platoons. After that, it's pretty much just getting settled, although with an air of...shall we say...hostility....on the part of the Drill Sergeants.
After that first day though...it's a blast, seriously!
More tips:
Don't bother learning your left from your right, because you're going to forget it anyway, the instant you are required to march anywhere.
Don't get your head shaved before you leave for basic.
Drill Sergeants are kinda proud of their hats, so don't call it a "bigass beanie with a brim".