FWIW, the NAS drives are kind of meant for multiple drive (aka RAID) NAS systems such as this
(as an example...there are many other options...I run a 4 bay ReadyNAS device). They are supposed better able to deal with the additional vibrations of the multiple drives in an NAS or server. That is why they will be more expensive than the "equivalent" desktop drive
Of course, at the end of day, it is still just a disk drive that you can use how you want. So, it if you want to use it as a desktop drive or in a USB external enclosure or the 1 drive bay NAS to which you linked, then that is fine too.
Now, I have no clue how good that NAS enclosure you picked may or may not be, so I cannot really comment on how well it might work.
But, it should work like a typical NAS. A NAS is in essence as computer that is running some OS (many times some flavor of Linux, but could be something completely proprietary) that will then act as a server that shares its drives across the network to multiple computers/devices. So, typically you just stick the blank drive in the NAS enclosure and it will do the appropriate formatting. You then access the settings for the NAS either through software that you install or by way of the devices IP address in a browser (the former is usually just a basic program to expedite the latter). You then adjust the settings of the NAS. The primary settings you will deal with is setting up "shares" and users for those shares. The "shares" are basically network drives that you will then "attach" through Windows and will typically require a user account to then mount/"attach".
If you are going to only use it with one computer, then you may be better off just getting a regular USB external enclosure for it. NAS devices are generally most useful when you have multiple devices that you want to access files on the NAS. If it is only one device, then a USB enclosure will be faster, even if the NAS (and all Ethernet cables, switches and your computer) is capable of Gigabit Ethernet.