Include Ya'aleh v'Yavo for Sukkot in the Amidah.
Traditionally, N'tilat Lulav is not performed on Shabbat. Many Reform congregations take the Lulav even on Shabbat.
*In Temple times, N'tilat Lulav was performed in the Temple on the first day of Sukkot, even when it fell on Shabbat. Later, rabbis prohibited taking the Lulav on Shabbat, as they feared people might carry the Lulav into the public domain. Reform responsa suggest performing N'tilat Lulav on Shabbat. See "Blowing of the Shofar," American Reform Responsa, Vol. XXXIII, 1923, pp. 60-61. http://ccarnet.org/responsa/arr-121-122/
After the Amidah, we recite a full Hallel (MT 560). The Hallel on page 560 is the Half Hallel; congregations that would like to recite a full Hallel should add appropriate selections from Psalms 115 and 116. Traditionally, congregations do not wave the Lulav during Hallel on Shabbat, though many Reform congregations do (see above).
After Hallel, the appropriate Hoshanah for this day is traditionally recited.
After Hallel (or Hoshanot, for congregations that recite them), we read Kohelet (Ecclesiastes).
Exodus 33:12-34:26 (P 657, RP 592, WTC 508)
Exodus 33:12-34:26 (P 657, RP 592, WTC 508) or Deuteronomy 8:1-10 (P 1387, RP 1229, WTC 1094)
Shachait Torah Reading Scroll #2
Chant the specified reading from Numbers 29 for this day of Sukkot
Ezekiel 38:18-39:7 (P 1640, RP 1443)
Deuteronomy 33:1-17 (P 1569, RP 1420, WTC 1273)
We add Ya'aleh v'Yavo and Harachaman for Sukkot to Birkat Hamazon. We also include R'tzei and Harachaman for Shabbat.
Recite the blessing over dwelling in the sukkah.
It is a mitzvah to welcome guests into our Sukkah. Each night of Sukkot, we symbolically welcome certain of our patriarchs and matriarchs into our sukkah as guests. The liturgy of this ceremony can be found in Gates of the House, pp. 77-78.