You can ask the processor to send higher layer information via diag, including the messages the base stations send. There’s also commands to lock on to a specific base station so you’re not constantly moving from cell to cell.
There’s plenty of commercial devices that use this functionality to provide network monitoring and management capabilities for mobile network operators checking out base station functionality in the field. TEMS comes to mind for that but they’re certainly not the only ones.
It’s a deep rabbit hole :-)