The Morning Service is roughly the same as on Rosh Hashanah, with the exception of the Amidah itself and a few added lines and hymns that are unique to Yom Kippur, and is then followed by the Torah Service.
As on Rosh Hashanah, two scrolls are removed from the Ark.
First, six people are called forward for aliyot as Leviticus 16, which contains a description of the ancient sacrificial service for Yom Kippur, is read from the first scroll.
When Yom Kippur falls on a Shabbat, seven people are called up.
Then, Numbers 29:7–11, which also speaks of the ancient sacrifices offered on Yom Kippur, is read as the maftir portion.
The haftarah is Isaiah 57:14–58:14, a very stirring passage that deals with the use of ritual to achieve spiritual ends. The prophet challenges us to remember that ritual is, at best, a means to an end and is never to be confused with magic.
The chanting of the Ashrei and the formal ceremony putting the Torah scrolls back into the Ark are delayed until after the Yizkor Service, directly following Torah reading (read here for more information on the Yom Kippur Yizkor Service).
Adapted with permission from The Observant Life.