I usually do two things to imported word files -- look for imported character styles that I don't need and look for swatches that I don't want, then delete them.
In the case of styles, replace with [None], swatches replace with [Black]. If the blue was hyperlinks, and you don't want them, you'll also have to open the hyperlinks panel to delete the links themselves.
#1. Delete the color swatch and replace with black! (Oh well, I guess that's not all there is to this.)
#2. Search for text that is black, then press the [Right] key. The next character is either end-of-story, or it's not black.
Oddly, selecting all the text and clicking the "Black" swatch will not do it if there's a character style involved.
You sure? That only happens if the character style defines the new color.
How about dumping it into Notepad then copying over to InDesign? I've always done this to get rid of any formatting.