I personally haven't tried to connect the Chromebook to a printer but apparently you can. A printer icon, for example, is the first one displayed on the Google Doc. menu bar. Also check the reviews. Have seen some that indicate that printing is no problem. But no direct experience or need yet.
Yes, you can use a printer with this Chromebook. There are built-in apps like the Google Cloud Printing service thing that allows you to wirelessly connect to a printer that you have set up to sync with your Cloud drive and print that way. You can also connect your printer via USB port on the back of the Chromebook and use it that way.