Q:

The use of the preposition "about" with the verb "wonder"

Tell me please if the preposition about change the meaning of the following sentence.

I have noticed a tattoo on your left shoulder, and I wonder (about) what it means.

And now I wonder if could use the verb wonder
in the present progressive tense in the sentence, and would it have the same meaning as in the present simple.

A:

You can wonder about the tattoo:  what it means, when she got it, whether it was painful, whether she was drunk when she got it, whatever.
But you wonder what it means not "about what".

