Uefi is a later development of efi, most systems will have Uefi nowadays. You are getting confused with Secure Boot which is one particular feature of Uefi systems but not always implemented, and certainly not with Windows 7, only Windows 8. The whole issue is a clear as mud, and in some cases remarkably dangerous to your hardware (the only way I could rescue mine was to short the live motherboard with a screwdriver - three times - and then flash the bios from a dos disk - about as user friendly as you can imagine with a brand new laptop
). You have obviously been lucky (or smart, or both) in that you haven't trashed anything yet. People are working on this problem all the time, but there are so many different ways that hardware vendors have implemented this new feature, that keeping up with the differences is an almost impossible task.
Of course, having said all that your problem might not have anything to do with Uefi. I have been so traumatised by my experiences with Uefi that I now blame it for everything from my leaking radiator to my bad back
Fujitsu Lifebook AH532. Intel i5 processor, 6Gb ram, Intel HD3000 graphics, Intel Audio/wifi. Realtek RTL8111/8168B Ethernet.Lubuntu 13.10,Ubuntu12.10 (Unity), Mint16 (Cinnamon), Manjaro (Xfce).