Can you confirm that this iPhone is being properly backed up?

A friend of mine has an iPhone and when she plugs it to the computer with the intention of charging it, it also says that it’s transferring pictures from the phone to the computer.

That said, can we assume that contacts and texts are also being backed up so she has them if the phone is broken/lost, or does she have to do anything else to make sure that is safeguarded?

Thanks.