According to the handbook, associated with the Young Women program are a motto and logo. These can be used in lessons and at activities as reminders to the young women to live the gospel standards. (Source: LDS.org - YW Theme and Logo)
You should also introduce the Motto and Theme during New Beginnings.
Young Women's Motto
The Young Women's Motto is "Stand for Truth and Righteousness".
Young Women's Theme
The Young Women's theme is:
We are daughters of our Heavenly Father, who loves us, and we love Him. We will "stand as witnesses of God at all times and in all things, and in all places" (Mosiah 18:9) as we strive to live the Young Women values, which are:
Choice and Accountability
Good Works, and
We believe as we come to accept and act upon these values, we will be prepared to strengthen home and family, make and keep sacred covenants, receive the ordinances of the temple, and enjoy the blessings of exaltation.
The Young Women's General Presidency has given some guidelines for repeating the theme.
I have made some clipart relating the YW Theme, including signs and posters.
Young Women's Logo
The Young Women logo is a torch surrounded by the Young Women motto. The torch represents the light of Christ, inviting all to "come unto Christ" (Moroni 10:32). It invites all young women to hold up the light of Christ by keeping His commandments. (Source: LDS.org - YW Theme and Logo)
I have made some clipart of the YW logo.
YW Class Symbols
There are symbols for each of the three young women classes. You can learn about the Young Women Class Names and Symbols here, download clipart of the symbols, and learn their respective age-group purpose statements.