It's called getting an aliyah. the one who does the actual reading is being a baal-korei.
They're called Rabbis.
When Jews read the Torah, they use a pointer called a "yad" because they're not allow to touch the Torah with their hands.
The Torah has supreme holiness and should not be touched by hand. However, it is read publicly and individuals are called up to the Torah to chant the blessings said before and after the reading of each section. In order that the person can follow the reading the reader uses a Yad or pointer to show the individual the place as the Torah is being read.
To honor the Torah and glorify it.
The Torah is read in synagogues across the world
If you're referring to a kohen (sometimes translated as "priest"), you should bear in mind that both kohanim and non-kohanim may read the Torah. In Judaism, any man over the age of 13 (women too in some communities) may read from the Torah scroll for the public. The platform the Torah is read from is called a 'bimah' (BEE-mah).
The platform where the Torah is read from is referred to as the "Bimah."
This tool is called a Yad (יד)
The Torah is read.
While some Jews read Torah at home, a surprising amount do not. However, there is a tradition which is kept by most Jews, it is called a Torah portion. The Torah portion is read weekely and is designed so the Torah can be read in 3 years, it also contains an additional read generally from the prophets. An example of a Torah portion is seen below, it is from this past Sabbath's reading.... Mishpatim: "Judgements" February 12/13 2010 - 29 Shvat 5770 Torah- Exd. 21:1 - 24:18 Halftarah- Jer. 34:8-22, 33:25-26
For those who are not fluent in Hebrew, it is hard to read the Torah as the Torah scroll does not have nikkudot (pronunciation indicators).
To protect it and to honor it.