No option between 'the same' and 'very different'? Eh.
A lot of shit is different. The world is less open and connected, the lore is a lot more haphhazard and less coherent, and a lot less subtle. It's also a lot more forgiving, with more frequent and easily found bonfires, and easier ways to restore/maintain your max health, and it has cheap healing consumables like Demon's Souls had. Not to mention being able to reallocate your core stats. It also has a lot more really obscure/rare weapons and armour that can only be acqured through tons of grinding. The torch thing is dumb; in order to make them relevant in anywhere besides the gutter, you'd need to turn the lighting down so much you'd miss out on 95% of the scenery and it'd make searching places incredibly tedious because the light radius is so small.
It made a lot of improvements too though. The stats are much more balanced now, spells have more variety, pyromancy is no longer incredibly imbalanced, dual wielding is actually a thing. Most of the bosses are of a hgher quality in general, and a lot of the areas are better designed on an individual basis, with shortcuts and alternate routes and such. Weapons have a lot more variety, and the boss weapons aren't all total shit like they were in Dark Souls. The covenants are handled much better as well. The NG+ system is a major improvement as well. I think they did a better job with the characters as well, and it was definitely one area where I appreciate the lack of subtlety. Having to go through insanely convoluted motions to get to the end of the story arcs for pretty much anyone in Dark Souls 1 was retarded. I like that now they just reveal a bit more every time you find them in a new place, instead of needing a very specific order of events.
As for area size... I guess that depends on how you define 'area'. You do run into a boss about every 10 minutes, but that is because there are a lot more bosses (and ~10 minutes between bosses was probably about right for the first game too, if you're not dying or trying to scour every inch). The overall game is significantly larger, and broken into a bunch of different linear paths radiating out from the hub town. I'd have vastly preferred a more open, connected world, but that would have been a lot of work for a map this large.