Are you sure her discs were DVD-R and not CD-R?
On the tray of most Drives it should give you icons for it's compatability (currently on work PC and on the front of the tray has the DVD symbol with R/RW below, a large RW logo with DVD ReWritable on it to the right of that and the compact disc logo again with ReWritable on it in the furthest right position). It may be different on your tray due to possible styling for a laptop.
Once you put the disc (assuming it is the correct type for your burner - no point in putting a DVD-RW into a CD-R drive) into your machine it shouldn't be any more complicated than opening the correct software. Do you know what software is on your laptop for writing CDs? Probably be one of the more common ones such as Nero. Depending on the software it'll be slightly different, but basically it's select to make a "Data CD" (or CD-RW, or DVD etc.), browse to the content you want to add and select it, then click finish/burn. No need for formatting etc.