The browser extension allows you to create an entry directly from the webpage using the information that Zotero has access to. This process can be hit-or-miss, so it is important to double check the entry once it is finished.
Once you've added the extension it will appear in your browser like this (this example is from Firefox):
When it senses a page that it can pull data from, the red Z will change to an icon reflecting what kind of item Zotero thinks it is:
When you click on the icon, this will pop up:
In the "Saving to" drop down menu, you can choose one of the folders you have created. Otherwise, it will default to your most recently used folder.
Once you create a log-in, the online version allows you to access your references anywhere, similar to OneDrive and Google Drive. You can sync the desktop version and the online version to make sure that the entries are the same in both. However, the functionality of the online version is different from the desktop version.
You can organize your entries into folders. "My Library" will contain every entry, and then you can create new folders based on your needs and assignments and directly enter citations where you want them. Right clicking on a folder name will allow you to create a bibliography of all of the entries in your chosen citation style.
After clicking on an entry, this screen will appear on the right side. "Item Type" can be chosen from many options, and the other fields can be edited as needed.