I do not know what CD you are referring to, but you should be able to tell from your owner's documents. If you no longer have access to some type of restore image partition on the original drive, I would say a supplied CD would not reinstall by itself.
The Windows 7 install disc is a DVD... You can, however, download an install DVD as an .iso file and burn yourself. Whether it would activate for an OEM type install, I don't know, only Microsoft would probably be able to give you guidance.
You may be able to get recovery media from the computer manufacturer.