Mobile phones favor Wifi. If you are connected to Wifi, your phone will favor this as the connection of choice for downloading content. If no Wifi is available, the phone will favor the cell network. In specific situations, the phone will not favor its current connection if it is not Wifi (such as large downloads from the app store).
Even if your Wifi is a metered (limited) service, it will be favored above cell data. The phone knows no better.
If/When you are connected to Wifi, you will notice an icon on the top of your display, showing signal strength for the wifi network. This will look like a up/down arrow, with radial bands above it.
Typically, when your phone is using cell data, you will not have the Wifi icon, and you're...