Hydrolyzes glycerolphosphoglycerol, glycerophosphocholine and glycerophosphoethanolamine in vitro. May be involved in release of inorganic phosphate (Pi) from phospholipids during Pi starvation. a sn-glycero-3-phosphodiester + H2O = an alcohol + H(+) + sn-glycerol 3-phosphate Expressed in roots, shoots, rosette leaves, stems, flowers and siliques. By senescence (PubMed:8883383) and phosphate starvation (PubMed:21323773). No visible phenotype under normal growth conditions, but mutant plants show reduced glycerophosphodiester phosphodiesterase activity under phosphate starvation. Belongs to the glycerophosphoryl diester phosphodiesterase family.