How many sections are there in the Bible?

The Christian Bible and Hebrew Bible are grouped into books (e.g. Genesis) and chapters.

As to how many books depends on which canon of Bible you're referring to. The Hebrew Bible for example groups some books differently than the Christian Old Testament so for example the 12 minor prophet books (Hosea to Malachi) are grouped as a single book.

There are 66 books in the Canon of the Protestant Bible (39 in the Old Testament and 27 in the New Testament) and 73 books in the Canon of the Catholic Bible (46 in the Old Testament and 27 in the New Testament), which includes deuterocanonical non-canonical books (e.g. Book of Wisdom, Tobit, Judith, etc.) designated "Apocrypha" by Protestants.