Ah I think the head stock (that's where the tuners are) is just flipped for aesthetic reasons and it just made it look like it's a lefty :D I think it's a cool look either way.

Amps are great and especially if you're located someplace you can get used stuff cheap go for it! Even if you get an amp I highly recommend looking into amp models as well. "Starter" amps get you well on your way, but with amp models you can try out different sounds, tones and you don't need to shell out money to buy pedals from the get-go just to see if this or that effect is something you actually want or need, tons of free options even. Like I said - tons of professionals, even people you might not suspect, play and record a lot of stuff on virtual amps and effects, especially in the studio.

It really is amazing how good amp models and effects have become over the past 20 years. So many pedals are fully digital these days it's mind blowing how great the sound is. You don't need to go too many decades back in time when people went to amazing lengths to get a good reverb (physical string and plate reverbs) etc, and sure analog stuff has its' own sound but even great amps these days are made fully digital. ~~Look into something like an iRig or similar for a cheap (also on-the-go) option to connect your guitar to your phone or computer~~ (sorry actually I think the Rocksmith adapter might do the trick already). Nothing wrong with going both ways. Just be prepared to have any living space full of gear from now on. GAS/Gear Acquisition Syndrome is real and you're going to fight yourself over whichever gear you're gonna want - in which digital stuff will help.

e: Also to add, Rocksmith is an amazing place to start and I wish I'd had it when I started.

Have fun with your new guitar!