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PNG is a raster (bitmap) format - not vector
Inkscape is a Vector illustration program with little in the way of raster editing.
It can however 'trace' imported bitmaps enabling you to create a...

Sorry - you've completely lost me :confused:

File conversion from one programs file type output to another programs file type import is a perenial problem which often requires jumping through many hoops - sometimes there is no alternative other...

Why not just download Inkscape and recreate the file for yourself?
It's not a complex drawing and probably a good start to learning InkScaping?

..oh, I wasn't aware that the Linux version couldn't export in anything other than as raster. What a great pity..

Tried .ai ? InkScape can open these too.