What is the difference between the Hebrew Bible that the Hebrews follows and the regular bible used?

The Hebrew defers from other bibles used in its inclusion of the Jewish Tanakh

It also does not include the deuterocanonical portions of the Bible used by Roman Catholics

The Hebrew Bible, also called by non-Jewish People the "Old Testament", is called by an achronym TaNaKh.

TaNaKh stands for Torah, the 5 books of Moses; Nevi'im, the Prophets; and Ketuvim, the writings.

The 5 books of Moses are Genesis: B'reshit; Exodus: Sh'mot; Leviticus: Vayikra; Numbers: Bamidbar and Deuteronomy D'varim. These are the books of Law, and the foundation books of the Jewish People and Religion. Often these 5 books are printed alone in a single volume called a Chumash. (ch as in loCH). In a handwritten, sacred form this is called a Sefer Torah and is copied verbatim and must contain no errors. The Sefer Torah is often kept in the Ark, or Aron haKodesh, in the Synagogue.

The differences are in the order of the books - the writings: Psalms etc, follow the Prophets: Isaiah etc. These are reversed in the Christian Bible.

Also the Hebrew Bible does not contain the New Testament nor the Deuterocanonical Writings. Although some Jews do read the Apocrypha out of interest.