Somewhat confusingly, there is a supplemental version of Chicago Style called Turabian. Turabian - based on Kate Turabian's work - is an extension/addition to Chicago Style aimed specifically at students writing research papers. While there are minor differences, the two are considered compatible and will be referred to as "Chicago Style" in this guide.
Citations in Turabian form are identical to those in Chicago.
The Chicago Manual of Style outlines two ways to cite others in your paper/manuscript:
Author-Date System: Author-Date uses parenthetical (Author Last Name, year) citations in the text to reference the source's author's last name and the year of publication. The full citation is in the "References" section at the end of the work.
Notes-Bibliography (NB) System: By contrast, NB uses numbered footnotes in the text to direct the reader to a shortened citation at the bottom of the page. This corresponds to a fuller citation on a Bibliography page that concludes the document. Though the general principles of citation are the same here, the citations themselves are formatted differently from the way they appear in Author-Date.
If you are not sure which format to use, check with your professor or the organization/journal.