I have used the mobile phone system to send data, and I've never told the phone company what device the SIM cards are used in.
When you are using data on a GSM network, you usually need the APN, username and password, which depends on the network being used.
There are thousands of applications for data on the mobile networks, and they are now called IoT or Internet of Things, so there is no way that the mobile companies are going to stop all of that happening, even if they could. What GSM modem are you using?