*cracks knuckles* Welcome to my world!
I am a night auditor at a hotel so 10pm-8am is my schedule and believe me once you get used to it and find your groove it'll be easy. However, finding and maintaining that groove can be really difficult, I only recently (after a year at this job and being flung around to all sorts of different schedules on top of my graves) have I found my groove, but it WILL happen!
Firstly, I honestly advise AGAINST energy drinks, because at least for me, the just make me crash, and HARD. If I ever indulge in an energy drink it is usually at 4am or something to get my over the last hump. Coffee would probably be fine, but I literally just drink ice water all night long.
As for entertainment it really depends on what is allowed, since it's security I am sure you have to stay alert or something and that's why you aren't supposed to use devices, but that really also sucks. I would see if they have policy against things like coloring, drawing, reading, maybe like crafty stuff if you're into them like knitting, origami etc. Entertainment is really crucial and staying busy and moving really helps you stay awake. It helps if you'll be sitting all night to get up every once in a while and stretch and stuff, sometimes on tough nights I will intentionally sit in an uncomfortable way, like right on the edge of my chair and it usually helps me stay awake. XD
Another thing that always helps me get through the night is bringing snacks and eating, like if you're drowsy and about to crash or something stuff something in your gob, it also helps if eating gets you away from where you're stationed at least for a bit. I usually try to save my "meal" if I have one for the half way point or a bit past the half way point so the energy from it will kick in to keep me up.
But really the most important thing is sleep, and I can't exaggerate this enough. Whatever you used to do for your last job is usually the best to mimic, whatever used to work for you in "regular people time" is what you need here. So if you usually let's say came home from work and went right to sleep, or if you came home and stayed up until early morning or whatever you want to copy that for your new time. So for instance I try to usually come home, stay up for maybe an hour or two, usually eat something (my "dinner" meal), watch a few shows and then go to bed around 10-11am or so.(I highly suggest getting light blocking curtains for your room as it is really hard to sleep with sunlight and birds chirping.) Then I will usually wake up anywhere from 4-7pm depending on how tired I was or what is going on in my house(I live with 5 other people so yeah...), have my "breakfast meal", hang out with the fam for a bit, do whatever I need to do like take a shower, this is pretty much my only "free" time but since it's late at night I usually don't really do much of anything... Then I start getting ready around 9 or so and then head to work. The hardest part is trying to maintain this during my "weekends" because I have a boyfriend who gets up semi-early and I want to spend time with him, so I try not to skew too far from my sleep schedule, but usually end up deviating a bit to spend time with him and our family.
So yeah, the first while will be a little hard but once you find your groove you'll be awesome at it, hopefully they're a bit more lenient for the night people, even our security people here get a bit of access to a computer for entertainment purposes, so hopefully they'll let you do something as far as entertainment.