Hello,
First you will want to import the data from your CSV file. In MATLAB, you can right-click on the file in the Current Folder browser and select "Import Data...". Then, once you have made sure that the data will be imported correctly, you can choose the drop-down menu under "Import Selection" and generate a script or function to import this data in the future. More information about importing data in this way can be found on the documentation page for "uiimport".
Once the data is imported, you can iterate through the resulting data structure using a for-loop. Then, for each entry, you can move the corresponding image file to a subfolder determined by the category of the image. Files can be moved using the "movefile" function.