Yes, many vet schools require the GRE. The last admissions stats I found were for the old version of the GRE and reflect one vet school only, but might give you a general idea.
Average GRE scores:
verbal 526; quantitative 668; analytical 6. Out of state students had higher scores than in state students.
Here is a link for how the old scores relate to the new GRE: For Institutions: Score Interpretation
Hope that helps!