The pair is actually part of a headpiece the sits on top of her head (which you can see later in the video). It seems as there are even lenses inside of them. The arms which connect all of the pieces together are lit up and the "lenses" can be pulled back which Gaga does a few times in the video. I'm still trying to figure out what significance they have to the meaning of the video, if any.
The second pair is of yet unknown. I have been scouring the tubes looking for it but I've had no luck. If anyone has any idea, please leave a comment below.
Source: Vevo