You can download the app directly on your Windows 8.1 device through the Windows Store or by using the following link
You will see new friend requests, messages, and notifications at your top right. Your News Feed is there as you would expect it to be. You can compose a new post, add photos or check in. You can switch between your different feeds (e.g. Group, Photos, Following, Family, etc.) so you see all the news and updates you want to see.
On your right, you have your friends list where you can see who is available to chat. On your left is the sidebar for quick access to things like your friends page, messages, photos, your pages, your groups and the Nearby feature which presents all the recent places your friends have checked in to. On your friends page, you can use semantic zoom to quickly sort your friends alphabetically for quick navigation.
You can access all of your Facebook photo albums in Facebook for Windows 8.1. When you click on a photo – either in one of your photo albums or on your News Feed – it will display at full screen where you can pinch or stretch to zoom in on a photo with your fingers on your tablet. You can Like the photo, leave a comment or tag a person.
You will also get toast notifications in Windows 8.1 based on your Facebook notifications while the app is running in the background. Your notification count will show up on your lock screen as well as part of Facebook for Windows 8.1’s live tile on your Start screen.
And Facebook for Windows 8.1 supports the new tile sizes in Windows 8.1 for your Start screen. With a large tile – you’ll see high quality images show up based on your notifications (e.g. if someone leaves a comment on a post of yours, their comment and profile picture show up as part of the live tile).
source - Windows Blog