Cookie Monster – RULER

To solve the puzzle, first, you answer (at least some of) the clues:

Football stadium for the Bruins: ROSE BOWL
Pietist, e.g.: LUTHERAN
A set of linguistic rules: GRAMMAR
Sound that is N times the frequency of the first: NTH HARMONIC
Ship named for the home of The Great Compromiser: USS ASHLAND

Order after "aim": FIRE
Voltage reference point: GROUND
Movie in which Whoopi plays a medium: GHOST
The universal solvent: WATER
College sports team, "The _______ Irish": FIGHTING

Then, you notice that the second set of clues all indicate pokemon types. Indeed, each of the answers from the first set can be anagrammed, with one extra letter, into a pokemon with a type is in the second set:

R=GRAMMAR - MAGMAR (Fire type)
U=USS ASHLAND - SANDSLASH (Ground type)
L=LUTHERAN - HAUNTER (Ghost type)
E=ROSE BOWL - SLOWBRO (Water type)
R=NTH HARMONIC - HITMONCHAN (Fighting type)