Ooohhhhh! Sorry about that. It definitely was grouped, because I did look at the file. So ungrouping was not wasted work. But I didn't realize that one of the objects (well at least this one) is a clone of a path (the original of which is not even in this same document). Since there is only that one logo on the page, I had no clue that it might be a clone.
Anyway, after you've ungrouped everything, select the object in question, then Edit menu > Clone > Unlink clone. That will turn it into a regular path.
Sorry for the confusion.
Now as I look more closely through your file, there are some other objects there which I don't recognize. For example, the square part of the mortarboard is something called a "polyline". It does not display nodes with the Node tool. Since I don't even know what a polyline is, I'm not sure how to display nodes. I tried Path menu > Object to Path, and I do see nodes now. I would guess that should work for you as well, but since I know so little about it, there's a chance it won't.
Behind it is a white circle, which when selected is identified as a "circle". But when I engage the Ellipse tool, I don't see the handles of the circle, like I would expect. Object to path works for me as well, on that.
Whenever you select something with the Selection tool, look at the status area to learn what kind of object it is. If you find more clones, you should unlink them. If it is a polyline, circle, rectangle or ellipse, try Object to Path. I think that should get you through this file. If you have other files from the same source, it's possible you might encounter yet other types of objects. In many cases, Object to Path should work. But like with the Clone, there may be other solutions. So please feel free to post another message, if you need to
