OP,
3G/4G is a cellular technology and is not used by the 6D. The 6D uses WiFi technology. The difference is the 3G/4G is a connection via cell towers to a cellular network and gives you access to, for example, the internet, or to make phone calls. iPads with 4G can connect to the internet anywhere.
In contrast, the 6D uses WiFi. If your phone or iPad has WiFi (which most do), the 6D can connect to it. Let's use an iPad for example, one that you don't have a 4G account for. Out in the field, your iPad has no internet. However, since both the iPad and the 6D have WiFi capability, they can connect to each other and communicate.
With regard to whether the 6D needs a WiFi signal, the 6D is capable of both receiving a WiFi signal (like your home network you mentioned) and of generating its own WiFi signal for another device, such as your phone, to connect to.
It depends on the use.
For example, for EOS remote app, the 6D generates it's own SSID (it's own wireless network) and your phone connects to the camera. Just like a router for your WiFi at home generates a wireless network, that is what the 6D does.
However, the 6D is also capable of connecting to an existing wireless network. For example, when you want to share photos to your TV or laptop or whatever, transfer images, etc., then the 6D will connect to your home WiFi network for this purpose.
So it's not through 3G/4G but through WiFi - either by generating a WiFi network or by connecting to one, depending on the purpose as stated above.
Your modern SmartPhone does the same thing - it can generate it's own WiFi network, most commonly known in marketing speak as a "personal hot spot", and it can also connect to an existing WiFi network as well.