I usually use paper first.
Part of it is habit (I started gaming before laptops were a thing), but it's mostly because I personally find it easier to switch between multiple hardcopy books than multiple file windows on a single screen.
|Darigaaz the Igniter|
I do a fair bit of computer/tablet fondling when I run games to present maps, handouts and pictures (I am remote, webcasting to a group of players sitting in the same room). A couple of my players update google documents during play for party loot, notes, etc. It is easier for them to do it that way than to keep stacks of paper notes handy.
On the GM note taking/making side of things I use a Rocketbook Everlast notebook. It uses erasable Pilot FriXion pens, has a quick-scan smartphone/tablet app (should something I randomly doodle need to be saved or sent to the group), and you can wipe the pages clean when the book is full. I find that it's a cool mid-step between scratch paper and constantly using tech, for me.
Paper for most mapping, quick notes, battle-stats (HP, initiative order, number of rounds for something so I can cross them off.)
Comp for looking up rules, storing the rail-roady parts of a session etc.
I actually design most of my sessions in Notepad++ and save all the files to a cloud-service (used to be Dropbox, now Sync) and that way I can write on those notes from anywhere, then pull them up on the laptop. Normally these are:
* Interesting encounters / DCs etc
* custom critters stats and rules
* some canned dialog from important NPCs and possible plot hooks
* canned terrain DCs, chases, etc for non-combat adjudication on the fly easier
So while all of that is computer; for those of you who work on mulitple PCs; it's a very convenient way of designing sessions
OneNote for my campaign note with Herolab files for my encounters. I also use Herolab Combat console for initiative tracking.
Each of my players have access in my OneNote and I have a GM section that is lock by password. They use it to keep track of intel, the common treasure and also what items they let at the base. Some of them opened tab for their character and post art showint the PC. They also have a memorial section for dead PC. When they find a map I copy it from the GM section to the map section.
With the cloud, I can work on my game evrywhere.
So, paper doesn't show at the table anymore...
Notes on paper, and at my most organized point Index cards often with basic info already on them then updated with notes from 'on the fly' But I'm an old fart, a desk top computer, never mind a laptop or notepad, was a thing of the future when I started gaming. Heck Pong didn't exist until I had been around a while :P