It's great. It is exactly what it sets out to be: a run and gun, challenging, over the top shooter about battling the hoards of hell as an unstoppable badass. If you are tired of ducking behind chest high walls waiting for health to regen and want something fast, frantic, and fun, DOOM is your game.
Great graphics, both the Mars landscapes and the sulfur-choked hellscape are very pretty. Environments are very detailed and the lighting is excellent. The monsters are exceptionally well designed and animated. Glory kills highlight that and incidentally *speed up* rather than slow down gameplay as you are constantly encouraged to charge forward end engage up close for the sake of HP rewards. Chainsaw also does the same thing, as it rewards ammunition.
Level Design is excellent, lots of secrets and lots of verticality in the arenas and levels as a whole. Zipping around these levels is way more engaging than the corridors of other shooters. Also a lot of platforming interestingly enough, but it all works really well. In fact I haven't seen conventional first person platforming this good since the Prime series.
Story wise, the narrative is a good framing device and the lore and background can be discovered and explored in a fashion similar to Metroid Prime. It's all solid stuff, some even really good stuff, but never gets in the way. And the way the silent Doom Slayer shows utter disdain for all the over-confident, arrogant characters you meet visually is very neat.
Multiplayer is solid stuff, but not the best. It's fun if you miss old Halo.
Snap Map is cool and has a lot of potential, should be engaging if you like level creators.