"Reimburses" implies that they simply cover your out of pocket expenses. That does not have to be reported as income, unless it is reported on your W-2 or they give you a separate form 1099-Misc.
If however, they pay you a fee for acting as a notary; that is reportable income. It is reported as self employment income on Schedule C. That income is not subject to self employment (social security & medicare) tax because you are a "public official"