Is the result that you can get from an electromagnet always the same thing as a magnet that is not electro?
In general: No. The magnetic field produced by an electromagnet is temporary, and its strength is determined by the current in the electromagnet: more current produces a stronger field. No current means no magnetic field (except for a very small residual field) so, as
@kellys_eye mentioned, electromagnets are used in scrap yards to pick up and move ferrous materials around, dropping their "load" when the current is turned off.
A permanent magnet, such as a neodymium or other rare-earth magnet, or even an Alnico permanent magnet, always starts out as an un-magnetized object. After forming to the desired dimensions, it is placed between the magnetic poles of a VERY strong electromagnet. Then the current is increased until the desired field strength in the permanent magnet is produced.
There are several different ways to "magnetize"
permanent magnets, but one of the easier ways is to energize a large capacitor to several hundred volts potential and then connect it (quickly) across the magnetizing coil of the electromagnet. The resulting high-current discharge creates a strong but rapidly decaying magnetic field in the permanent magnet, causing its magnetic domains to align with the external field. More than one discharge may be necessary to obtain the strongest residual permanent magnetic field possible.
One of the nicest things about permanent magnets is their size. They can produce a very strong magnetic field with zero power input and very little mass or volume compared to an equivalent strength electromagnet. One downside is their magnetic field is not easily turned on and off at will. Still, with a bit of ingenuity and lever mechanics, a magnetic holding fixture can be made that will release with the turn of knob... and consume zero power whether magnetically holding or free to be moved around. Machinists and optical table workers use these devices to position and hold dial indicators and lens mounts during experimental setups. More information can be found
here.