You don't "resize" anything in Bridge, nor does it set PPI, pixels per inch—and most certainly NOT "DPI" (Dots [of ink] Per Inch) which is exclusively a feature of the printer.
Bridge is just a File Browser. It used to be called simply the Photoshop File Browser". It doesn't open, edit, manipulate resize or even save anything.
It merely hands the file(s) over to the appropriate application, whether that be Photoshop, adobe Camera Raw, Illustrator, InDesign or even MS Word.
You wrote:
-What if I want say a 10x10 inch image at 72 DPI for web use as opposed to a 10 x10 inch image at 300 DPI for printing purposes, where does one enter that info?
Again, you mean PPI in both instances there.
You enter that in whatever application you're sending the image from Bridge.
For instance in Photoshop: