Yes, meditation counts as resting
Or more accurately, you can meditate whilst resting.
From PHB, p. 68:
Starting at 2nd level, you can regain some of your magical energy by sitting in meditation and communing with nature. During a short rest, you choose expended spell slots to recover. [...]
The meditation is called out as being something you do "during a short rest", not something you do instead of a short rest, so when you take a short rest, assuming you choose to do this meditation, you can regain expended spell slots and expended uses of Wild Shape.
This is also consistent with the monk with regards to regaining ki through meditation; on PHB, p. 78:
When you spend a ki point, it is unavailable until you finish a short or long rest, at the end of which you draw all of your expended ki back into yourself. You must spend at least 30 minutes of the rest meditating to regain your ki points.
The wording is slightly different here, because they wanted to specify 30 minutes specifically, but at the same time you only get the ki points back after completing the rest, but it still describes that you can meditate during the rest, not as a separate event.