Bit of a disclaimer: I am shit at almost any type of PvP that wasn't Uncharted 2 back in the day.
That said, the little bit I have played is leaps and bounds ahead of Destiny 1, which was basically getting lit up with Arc powers, or blown to shit with power weapons every 45 seconds. It feels tight and I can't spray and pray the opponents like you can in other shooters (which I've learned the hard way),
The only problem I'm really having right now is that swords can basically turn the tide of a match. I've seen dudes go on a 5-10 streak in a round just because they got their sword.
Back to the positives though: The loot system after a match has been fixed, which is great. I also am REALLY appreciative that there aren't trophies tied to multiplayer in Destiny 2. (This has stopped me from getting platinum trophies for a bunch of games, including TLoU). Finally, I actually enjoy the scrapping of 6v6, 4v4 feels really compact. It also allows for a sense of dread in some modes. In whatever that bomb diffuse mode is called, if you or one of your teammates die in a round? It SUUUUUUUCKS.
So to sum up: I like it. It feels like there were a lot of improvements overall and the positives really outweigh the negatives.
Fuck swords, though.