While Mikheil Saakashvili's National Movement performed well in local elections (and especially in Tbilisi), the OSCE has identified "significant shortcomings" to free and fair practices. Vote Georgia has extensive information based on reports from several NGOs. The CEC is also reporting results (English). If Misha hoped to use local elections as a means to shore up international support, early reports suggest that this effort has failed.
UPDATE: Social Science in the Caucasus has posted fabulous maps based on polling-station level data.