What is the difference in the synagouge service between the orthodox and reformaitve Jews?
Reform and Orthodox services follow the same general set-up, but Orthodox services tend to be more traditional. While many prayers are shared between both denominations of the faith, Orthodox services are usually longer and there are more prayers used.
In an effort to drawn in families who don't know Hebrew or haven't been to synagogue in a while, Reform siddurim usually have prayers translated into English, and transliteration available. In Orthodox services, the rabbi would probably lead the service completely in Hebrew.
This English is used in the service to make it easier for assimilated Jews to follow along and participate. Also, in Orthodox services gender-based laws are held more strictly. Usually, women are still not allowed on the bimah in Orthodox services, to read from the Torah, and they are seated separately from the men.
Another difference is that the Reform movement has been known to use music throughout their services. Because there is a heavy emphasis on the importance of community, music and different tunes are often used in more joyful Reform services, like on Shabbat.