Please bear in mind that this review will be about the singleplayer, and the singleplayer only. I haven't played the multi, and does not plan to do so. Why? I'm an SP man, that's why. So, let's begin.
If you've played the original MoH series, it could get really different. Instead of a more realistic game, you get Band of Brothers: The Shooter. And I love every single minute of it. You get six rather short missions that you can complete in about 5 hours (or in my case, 7, because I'm a terrible aim), and each mission lets you refight one airborne operation of the war. The first two takes place in Italy, and it quickly grabs your attention if you let it do so. Fast paced action with loud guns, and more enemies that you can count. The more you kill, the better your weapons will be. For every kill, your weapon gets experience, and when it "levels up", you get an upgrade for it. Like grenade launcher for the M1 Garand, better scope for the Springfield, dual mag for the Stg44, and so forth. Maybe not entirely accurate, but certainly gives you a feel of progression.
Try to stick with a weapon if you like it, tho. Some weapons appear only in early game (like the Kar98k and the Mp40), sor maybe it's wiser to use something that will be present a bit more frequent to let you get ammo for it. I recommend the pistol, because it doesn't require you to get additional ammo for it - you have infinite bullets. And that's cool, because on lvl 3, it's a really powerful weapon in short to middle range firefights. But the rest repends on your gamestyle. You can level up grenades too. Spam Gammon grenades for supernazis, and you can bear quite an amount of them to help you get baddies out fo the way.
The cons? Well, they are present. It's not much a historical game, rather than a historical based shooter. The Kar98k was used throughoutly the war, as well as the Mp40 - and believe it or not, not every men had an Stg44, and there wasn't any (or rather - that much) super nazis who could shoot the 15kg (possibly more) MG42 from the hip. And it's a bit frustrating when you go back to a place after they shot you, and it's swarming with enemies. Oh, before I forget - spawning. If you die, you'll make another jump where you can choose where to deploy. Rather neat function, that contains some interesting elements as there are skill jumps on each level, like land on the balcony or the catwalk.
Overall, a good game. Really short, so I'd recommend getting it on a sale or if you are really don't have much else to spend you hard earned money on. If you want a bit more realistic FPS that have the Airborne in it, try Brothers in Arms - especially Hell's Highway, but it's just my personal preference.