Lysosomes act as the waste disposal system of eukaryotic cells, whereas the Golgi Apparatus acts more like a post office and sends proteins to different parts of the cell or outside the cell.
The lysosomes contain a large number of hydrolytic enzymes and can break down all the biomolecules including proteins, carbohydrates, nucleic acids and lipids. They digest the unwanted waste material in the cytoplasm, whether it is from inside the cell (components that are no longer useful) or from outside the cell. The hydrolytic enzymes used for biomolecule breakdown are synthesized in the Endoplasmic Recticulum and are secreted by the Golgi Apparatus in small vesicles, which ultimately fuse with acidic vesicles (called as endosomes) to form the lysosomes.
The Golgi Apparatus (GA) serves as the major labeling and dispatch section for proteins synthesized in the endoplasmic recticulum. These proteins are modified as needed. It is also involved in the formation of lysosomes.