Sure.  A project is like a folder you put files and documents in.  You can then share it, or it can be private and only you and your coworkers can see it.  The following example shows a public document that I can create, so anyone can see it:
assitant
Yes.  Let’s take a look at the people who are signed in to your Google account.  You can share documents with them, but only if you have created a team within Google Docs.  You would create a project that your coworker could join, and then create a document with all of your coworkers.
assistant
What is google docs?
user
Google Docs is Google’s online word processor, similar to Microsoft Word.
assistant
What can you do with it?
user
I can change and format text, create bullet points, and check spelling.  I’m especially good at figuring out what the right spelling for a word is, if I don’t know it.  You can also share your document with other people or post it online.
assistant
So if you use it and create a project then you could share with a coworker?
user