Adding on to @DoubleAA's answer, services will be different in a Reform, Conservative, and Orthodox synagogue.
In Reform Judaism, the prayer set is the same, however omissions are made very frequently, usually for the sake of time or that the synagogue does not find meaningful. Almost always, a prayer is put to song. Sometimes this is the traditional trope, but more often, it is one written by a composer.
Additionally, some prayers may be substituted for a vernacular reading, either a direct translation of the prayer or one keeping in tune with the meaning.
There are four-six parts to the service (depending how you count). In the first one (Birchot HaShachar, Morning Blessings), there are a few prayers meant for "getting in the mood" of the service. Normally, only a welcome prayer like Modeh Ani or Mah Tovu, Nisim B'chol Yom, and maybe one other prayer will be included in a Reform service.
In the second part (Pesukei D'Zimrah, Verses of Praise), there are a bunch of chapters from Psalms as well as some other prayers. Preparatory for the main service, these are praises to God. Normally in a reform service, only Psalm 150 and maybe Psalm 92 will be included.
The third part (Shema Uvirchoteha, Shema and its Blessings) can be considered the first "official" part of the service, starting with a call to worship. Most of these prayers are also in weekday services. Reform synagogues will usually do Bar'chu, Yotzeir Or, Shema, V'ahavta, and Mi Chamocha.
The fourth part (T'filah, Prayer; Amidah, The Standing Prayer; or Shmoneh Esrei, Eighteen) is the central part of all services. This is a much shortened version of the one on weekdays; it only has seven blessings. In the Reform tradition, these blessings will only be done once, but in Conservative or Orthodox Judaism, these will be done twice. Reform synagogues normally include Adonai S'fatai, Avot v'Imahot, G'vurot, Kedushah, Yismechu or V'shamru, Sim Shalom, a silent, personalized prayer, and Yih'yu L'Ratzon or Oseh Shalom.
The fifth part (Seder K'riat HaTorah, Reading the Torah) will probably take the longest. Note that in Reform Judaism, not all the weekly portion is read. Sometimes, it goes in a multi-annual cycle, which part of the weekly portion will be read, but sometimes only the first 20 or so verses will be read. In a Reform service, you will usually find Ein Kamocha, Ki Mitziyon, Baruch Shenatan, a repetitive prayer like Rom'mu sang while the Torah is carried around, the blessings for Torah readings, the Torah portion, V'Zot HaTorah, Haftarah blessings, the Haftarah portion (a part of Prophets related to the Torah portion), and Eitz Chayim. Somewhere in here, a sermon by the Rabbi may be added.
The final part (Aleinu v'Kaddish Yatom, Aleinu and Mourner's Kaddish) is short, usually only containing Aleinu (In Reform Judaism, usually only the first and last parts are recited), the Mourner's Kaddish, and a closing Shabbat song like Adon Olam. Sometimes, blessings for wine and bread will be added here, and after this, you can usually expect food!
This looks very long, but keep in mind any of these may be and are substituted for vernacular readings or put into song. Normally, a Reform Saturday Morning service will be about an hour or an hour and a half.
If you want more information, here is an online copy of the Reform siddur, Mishkan T'filah. Also, different synagogues have different traditions, so a prayer not mentioned here may be done, or vice versa.
Note: Much of this answer only applies for Reform Judaism. @DoubleAA's answer is better if you are looking for Orthodox traditions.