Hi !
GLM supports Automatic Label Print requests & Automatic Label Printing(immediately after generation of automatic print requests). But this is limited to Delivery order, Process Order & Handling Unit as standard. For other scenarios, you will have to customize.
Automatic Print Request Generation - Global Label Management (EHS-SAF-GLM) - SAP Library
But this is possible with "Enhanced" GLM. It's better explained here,
New changes for GLM in EHP7.0 and ERP 6.0
Regards
Subash Sankar