they pray and talk to god
The cantor.
Most people attend synagogue to pray, others also learn there.
The Torah is read.
The Yom Kippur morning services.
The equivalent word is "synagogue service."
The Rabbi leads the order of the service and the Cantor leads the prayers.
A synagogue is the place where a Jew preys to God. A synagogue is a temple, just like a mosque or a church. A synagogue is led by a rabbi (Jewish priest) and the service often involves preyers in Hebrew.
There is no prohibition against bringing non-Jews to an Orthodox synagogue or otherwise, it happens all the time.
Yes you do. However, usually a mourner does not go to the synagogue during the shiva, but has a separate service in his home. On Tisha B'Av, since all of Jewry is in mourning, the mourner attends the synagogue service together with everyone else.
People pray and sing to God. They also have Jewish activities and programs.
If it is too worn to be used or repaired, it must be buried.
Most ceremonies, such weddings and bnei mitzvah require an invitation, but you can go to any synagogue service without an invitation. Contact your nearest synagogue for times. Anyone is welcome, even if you are not Jewish.