The gray is a unit that measures energy absorbed per unit of mass. It's defined as one Joule per one kilogram. Which can be simplified to $m^2/s^2$.
Can you explain the meaning (interpretation) of absorbed dose expressed as square meters per second per second?
I believe this might seem like a silly, very soft question, but in most cases the units do make sense. For example, the fuel consumption is measured in length squared and XKCD manages to provide an explanation of what that area means.