It's "angrier". They encourage you to be more offensive.
While Dark Souls gives you a shield, Bloodborne gives you a gun. With this, you can stun/riposte enemies if you do it on the right time. If you're hit, there's a small window of time you can use to hit the enemy back and regain some of the lost health.
In Dark Souls, you can defend; in Bloodborne, only dodge. You don't want to be defensive in this game. They want you to attack.
It's a hell of a lot scarier, too. The scenery alone had me at the edge of my seat.
Stamina control is the same, but in Bloodborne you don't have to worry about the weight of clothes/armor. You do not gain all of your health regen itens back when you die, you gotta farm them or buy more.
All else feels like the same. You die, enemies spawn back. The doors/gates you open stay open. You kill a boss, you feel great.