Is HD and 1080 the same thing?

HD is the term used to describe video formats that are higher resolution than standard definition. The formats include those with line counts of 720, 1035 and 1080
1080 is a reference to the number of lines used to create the image. Any video format that uses 1080 lines is HD although not all HD uses 1080 lines.

There are several formats that use 1080 lines and normally they are described as 1080i or 1080p, depending on how the image is generated. 1080p normally refers to an image with a full frame refresh rate of either 50 or 59.94Hz, twice that of 1080i.