You can also create a simple bibliography by dragging any list of items from your Zotero Library and dropping it anywhere that you can type: a Word Document, a Google Doc, your email.
Right-click any list of references and select ‘Create Bibliography from Selected Items…’ to create a new file of automatically formatted citations.
When you add the Zotero Connector to Chrome, the Zotero menu should automatically appear in Google Docs. The functions in Google Docs are nearly the same as in MS Word. After you add citations, when you add a bibliography, it will automatically populate with all the records you've cited.
Note: if the red "add citations" entry bar doesn't appear when you click "add citation," it might be hiding behind your browser window. Shrink the browser window, and you should be able to see it.
Zotero automatically formats your references into whatever citation style you (or your professors) prefer: MLA, Chicago, APA...
In addition to the citation styles that come standard with Zotero, you can also download hundreds of other additional styles.
There are mistakes in Library catalogs and databases! Whatever Zotero imports will ultimately be in your bibliography, so check the output for errors -- correct any inside Zotero, then rerun your bibliography so that it will be permanently fixed.