The TY NUC provides a mini-PCIe connector for installing a WiFi/Bluetooth solution. You simply install the module into the socket and use the post and screw to lock it down. You then connect the antenna leads that your chassis provides to this module and, at least from a hardware standpoint, you are ready to go.
There are multiple versions of the specification for mini-PCIe connectors. Rather than go into a complicated explanation of the versions, let's do this visually.
You want a module that looks like this:
You DO NOT want a module that looks like this:
(see the difference in the pin density and configuration)
My recommendation for the module that you should use is one from Intel, the AC-7260, which provides both Bluetooth and Dual-Band (2.4 and 5.0 GHz) 802.11ac WiFi support (but is backwards compatible with 802.11a/b/g/n). Here is a link to the Amazon US page for this module: Amazon.com: Intel 7260.HMWG.R Dual Band Wireless-AC 7260 Network Adapter.
There are acceptable alternatives from Broadcom, RealTek and other companies.
Once you have the module installed, you next need to install drivers to support it. If you go with the Intel solution I have recommended, the latest Windows 7/8.1/10 drivers for this module can be downloaded from here: Downloads for Intel® Dual Band Wireless-AC 7260. You want to download and install first the Bluetooth driver and then the Wireless driver.
Hope this helps,