In this, the Jewish Year 5765, Chanukkah begins at sunset December 7, and continues until nightfall December 15. That is, the first candle is lit tonight and the last candle on the night of December 14.
According to Judaism 101:
Chanukkah, the Jewish festival of rededication, also known as the festival of lights, is an eight day festival beginning on the 25th day of the Jewish month of Kislev.
Chanukkah is probably one of the best known Jewish holidays, not because of any great religious significance, but because of its proximity to Christmas. Many non-Jews (and even many assimilated Jews!) think of this holiday as the Jewish Christmas, adopting many of the Christmas customs, such as elaborate gift-giving and decoration. It is bitterly ironic that this holiday, which has its roots in a revolution against assimilation and the suppression of Jewish religion, has become the most assimilated, secular holiday on our calendar.
Judaism 101 provides historical background, Chanukkah traditions, music and a recipe for latkes.