Neutron stars are not very well understood, unfortunately. The matter on the surface is theoretically different from the matter in the core, due to the increased pressures at depth, but we can examine each layer in detail.
Atmosphere
There is actually an atmosphere around a neutron star, or there could be at least. It would be veeery thin, perhaps only a few micrometers, and likely composed of hydrogen and helium. If returned to "normal space" these gasses would likely exist as normal.
Crust
Beneath the atmosphere will be solid matter (or possibly liquid if the temperature exceeds about 10^6 Kelvin). The matter will still be mostly charged atomic nuclei crushed into a dense lattice swarming with electrons. This structure would behave metallically, and is thus theorized to be made perhaps of Iron, due to Iron's high binding energy. Iron could be too dense, though, which means the crust could be metallic Hydrogen and Helium. If we lifted this material off the surface, it might expand back into a more recognizable form, either solid Iron or gaseous Hydrogen/Helium. Due to the possible temperatures this material might become plasma.
Inner Crust
Proceeding inward we'd encounter more and more pressure, and so nuclei would be composed of more and more neutrons due to the process of Electron Capture. This process turns a Proton + Electron into a Neutron, at the expense of an escaped Electron-Neutrino. Once these neutrons are formed, they are permanent, and will not turn back into a charged duo. 473
The nuclei at this depth become increasingly unstable, since the Strong Force cannot cope with the number of neutrons. The only thing keeping them in place is the immense gravitational pressures. If we scooped out some of this gunk and set it free most of the nuclei would decay rapidly, releasing radiation and turning into more stable heavy elements. This could potentially become an interesting source of exotic elements if you wanted to risk the process of mining in such conditions.
Outer Core
At this depth the Neutrons are becoming ubiquitous, and electrons and charged nuclei become smaller and more rare. The gravitational pressures involved completely overwhelm the Strong Force binding the nuclei together. Any remaining nuclei would probably still be stable if we removed them, since they have become so small, but there could be some very radioactive isotopes in there somewhere. Mostly all you'd pull out of this goo would be pure neutrons, which are not terribly exciting.
Inner Core
At this point there are ONLY Neutrons present. The Electron-Capture process has eliminated all charged particles, and no nuclei exist. If you could somehow get to this depth to remove this material, it would expand as the pressure was released, and the Pure Neutrons would decay rather rapidly into more stable nuclei.
There is a possibility that the core is composed of some sort of quark/gluon plasma. The neutrons are basically dissolved when subjected to the conditions in the core, but such a material is exotic and not well understood. I would probably want to stay away from it in case it expanded violently upon release. 969