Main difference for me is fit and finish. IMHO PRS has its own sound so don't buy one hoping it will sound like a LP Standard.
I own 2 Gibson Les Paul Standards. One from 2006, needed fret job right out the box, took years for the Nitro to harden up and for some lame reason they used 300k pots, which took me forever to find out why anytime I played that guitar it sounded like someone threw a blanket over my amp. Why'd I buy it? Because I got a smoking deal on it that even after work that was done to it I still came out ahead. The second one I own is a 2016, much, much better guitar. Fret work was excellent and it plays like a dream. Maybe their getting a PLEK helped? None of their tuner BS and they came back to their senses and reduced the price back to more "reasonable" levels.
Still some finish issues like bleed into the binding and some glue residue but none are a deal breaker for me. Not a fan of Burstbucker Pro's. To my ears they're a bit harsh so I swapped them out for some Seth Lovers and 50's wiring harness. IMHO Gibson has stepped up their game but still not to the level of PRS. At least not in their Standard line. I thought it was marketing BS but every core PRS I have ever touched was pretty much perfect right out of the case. YMMV.
Gibson holds a special place in my heart, because of the shenanigans with their 2015 lineup I was driven to the PRS core line. Over the years I owned a few SE's but never really looked into the core line. Thought they were too expensive. Cue Gibby's 29% price increase in 2015 and a stripped 58 was my first PRS core purchase. Love my PRSi.