Put the Blank DVD into the reader on your Macbook.
Export the files from Aperture into that Untitled DVD folder by pointing the export dialogue that way.
When they are loaded to that Untitled DVD, press burn and assign the DVD a Name.

Make sure you export jpegs in Preferences. I usually export to a flash drive/sd card then select all and then select burn, etc.

I did this after using iPhoto a few years back and someone mentioned if you burn directly from iPhoto to a CD, one would need iPhoto to open the images on the CD.

Assuming John W response is correct, but if not, here you go. :)

As I understand it, when burning a disc (CD or DVD) directly from iPhoto … the issue is not that only iPhoto can read the images on the disc, it is that the resulting disc is written in HFS+ that can only be read by Mac OS …

Conversely, when burning a disc from Aperture using the method John has shared, the disc is burned in both Mac and Windows formatting using the default Finder burn method, rather than coding from within the application like is done with iPhoto.

You can export the images to a folder on the desktop and then manually commit the burn using Finder, using John’s method just adds simplicity and no derivative files to house clean after the fact.

Using the export dialog settings, you can choose your file type, size, watermark etc. for files copied direct to disk.
Aperture alows our office to customize files on DVD’s to meet our clients requirements.
When you are done save the burn folder and store it as a record of exactly what your client received.
Duplicate disks are easy to produce this way.
John