I don't think this is legal??

It's like telling someone they have to drive none stop for their job but neither giving them a company car or nor a budget for it.

(To be clear done and companies get away with it != legal. I know companies sometimes get away with exactly the example I named in some cases.)

It may not be legal, but somehow I don't doubt that it is happening... I recall several friends over the years being told to use their personal phones or personal computers for work when they were starting out in a new position...