There are two approaches (no pun intended) to this.
One is to fly the full published procedure, but using GPS navigation. That is usually what I do, and it is what ATC expect (because they don't know, nor do they care, how you actually navigate around the procedure). I would call that "flying the NDB procedure".
The other is to fly some form of abbreviated procedure, whereby one just intercepts the inbound track like it was a localiser. That is obviously stupid if you told ATC that you are flying the procedure. I would also bet that obstacle clearance would not be assured in all possible cases worldwide. But it is tempting because the reason for the "classical" IFR business of tracking to the beacon and then tracking outbound is because in the goode olde days there was no straightforward way to self intercept an inbound track. GPS makes it trivial.