You might well ask the same question about any other two instruments in unison. It does add a little bit of volume -- as a rule of thumb, 2 instruments in unison will be 3 decibels louder than one, if they play the same otherwise -- but mostly it adds, for lack of a better word, a thickening of the sound. You hear more of the fundamental tone and less of the incidental squawks and sputters and transient changes in pitch, since those won't happen at exactly the same time on both instruments.
You can go through the score of a Beethoven symphony and compare the effect of one flute vs. two, one horn vs. two, one clarinet vs. two, etc. (And then do the same with a Mahler symphony to hear what 4 flutes or horns in unison sound like - 2 to 4 is about the same size change as 1 to 2 is.)
The usual tendency was to give a melody to a single instrument to allow maximum scope for expression, to several to change the tone color at some expense of expressiveness.