A process that is carried out at the cellular level which results in the assembly, arrangement of constituent parts, or disassembly of the plastoglobule. Plastoglobule is a lipoprotein particle present in chloroplasts. They are rich in non-polar lipids (triglycerides, esters) as well as in prenylquinones, plastoquinone and tocopherols. Plastoglobules are often associated with thylakoid membranes, suggesting an exchange of lipids with thylakoids.