In your master Lightroom catalog: 

1. Go to File > Import From Another Catalog.

2. Navigate to the catalog Prime Edits sent you, click "Choose."

3. Click the check boxes for the folders you would like to sync.

4. Click the drop-down under "Change Existing Photos" and change it to Replace: "Metadata, develop settings, and negative files."

5. Click Import.

Your images should now reflect the edits your editor made to the files.