The process that occurs inside green cells in organelles called chloroplasts is called photosynthesis.

Here's a breakdown:

* Green cells: These are plant cells that contain chloroplasts.

* Chloroplasts: These are organelles within plant cells that contain chlorophyll, a green pigment that absorbs light energy.

* Photosynthesis: This is the process where plants use light energy, carbon dioxide, and water to create glucose (sugar) and oxygen.

So, the process that occurs inside green cells in organelles called chloroplasts is photosynthesis.