The calling name blocking is not
restricted to a GSM mobile network only.The same applies in case of a
landline-landline call also.The place where the options are enabled/disabled is the MSC ( switch ).Nguyen had a good answer of practically enabling/disabling the feature.
I don’t know what provisioning has been done at your operator’s end.
But asking whether the facility is free or not will not cost you anything : ))If it’s free well go ahead & use it,if it’s not it’ll come at a nominal fee.
Jokes apart ,every MSC will have it’s own way of enabling/disabling features.
let me know if you need more clarity.