No they do not have the same process but they are very close and work in function with each other
The Stroma is the colorless fluid surrounding the grana (or Granum) and enzymes in the process of photosynthesis is embeded in the stroma and also the thylakoid membranes
Thylakoids are the site of the light-dependent reactions of photosynthesis. Thylakoids consist of a thylakoid membrane surrounding a thylakoid lumen. They normally stack up in stacks called Granum and the Stroma surrounds
