Version 2.1 out NOW!
Download the pack and save it to your desktop.
Do ⊞ Win + R and enter "appdata".
Next, go to Roaming → .minecraft → resourcepacks.
Open the zip file from your computer, then pull the folder into the resourcepacks folder.
Open the game, then access the Resource Pack settings by going to Options, then Resource Packs. This should change the textures in the game to the texture pack.