Is it the same process to make a batch upload as it is to add a single resource?

Yes - you can use the same workflow to upload resources both individually and in groups. Simply click on the blue ‘Upload’ button to start uploading. 

You can also upload one or more resources straight into a collection. With the collection selected in your lightbox area, choose ‘Upload to this collection’ from the Actions menu. 

For a full guide to uploading, visit this page.