Can the lenses for a film SLR camera be shared with a digital SLR camera of the same brand?

yes, as long as the correct diameter ring and matches threads. If you haven't purchased yet. I would take what you have existing to a reputable camera store and discuss with them. There are things to take into consideration and best explained and demonstrated in person

Usually. There are some exceptions or caveats, though. If you have a specific brand in mind, please post a new question and someone here will undoubtedly be familiar with the restrictions on the brand you have in mind.

In almost every case, Yes.

There is one thing to consider however.
the size of 35mm film is larger than the size of most consumer DSLR's detectors. So, the image is effectively cropped.

So, your 50mm prime lens will now seem to be a 75mm or 80mm lens due to a crop factor of 1.5x (Nikon) or 1.6x (canon).

This is an advantage for long zoom applications and a disadvantage for wide angle applications.

Oh- also, the new 'digital' lenses, because they need only illuminate a smaller area, are more compact than their 35mm predecessors.