Peeking at the many, many features, it does have built in spell check, (in all areas of creation), but it also appears to have Research related tools built in, and I think I saw something about grammar in there somewhere. But if there isn't a dedicated Grammar check, there are other tools online you could run your document through.
But the thing I'm discovering that's great about Scivener is that you don't write your story in a linear fashion. You have these note-cards, that are actually Scenes. You can just write a Scene, the ones that excite you the most, get them on paper, and then then add more scenes to connect the plot points. You can reorder these note-cards, and it will reorganize your manuscript, and one really cool feature is that it has the Standardized Publishing formats already done for you, so you just Compile your story. You can even add artwork and pictures I think. I'll look into that when I actually begin writing, hopefully later this week.
The way I'm understanding the process, you have a Binder, that's kind of like an outline? or more like a File Folder listing you'd see on your computer to access directories and files. Inside these folders that you create, you create a Note-card. Right now, I'm just filling in the Synopsis part of the card, just random thoughts about what that Scene will contain.
Then there's the actual Ouline feature, that directly reflects the order of Notecards. Here you can also define word count goals for each scene, chapter, part of book, etc. Not sure how that works just yet, but you can also update the Status of each Scene. And somewhere in Scrivener there's a Timeline function, but I have yet to figure out where it is! LOL