How can a person become a member of judaism?

Anyone is welcome to join the Jewish family. Conversion is a formal process and takes place under the guidance of a Rabbi. It takes anywhere from 1 to 6 years of study. It involves a fair bit of studying, because Judaism takes conversion very seriously. Once the potential convert has completed their studies, they have to go before a beit din (religious court) where they then have to convince the rabbis that they are ready to become a Jew. Once they've done this, they go to mikvah and men must undergo circumcision.

Once someone has converted, they are every bit AS Jewish as those born into the faith.

The best course of action is to start by learning as much as possible about Judaism; both the history and the religion. Once you've done that, if you're still sure you want to become Jewish, then it is the time to approach a Rabbi. Meanwhile, find a Synagogue and contact them about attending services