Unfortunately is not that simple. You need a fiber that has a doped core because the fiber itself is the lasing medium. You need to pump it with a suitable laser that depends on the doping element. One example is Erbium, a rare earth metal. Doped fibers are available commercially, (even in ebay) and some may be pumped with laser diodes.
Supposing you have made all your your considerations and calculations you will need the doped fiber with the right concentration, core diameter and estimated length. You also need the cavity mirrors: the one at the pumping end has to be transparent for the pump signal and highly reflector for the signal you intend to generate from the dopant you have chosen whereas the output mirror has to be semi-transparent for such signal (usually transparent for pump signal). You also need a lens for coupling the pump signal to the fiber-laser cavity. It sounds simple but with plenty of time and patience you will get lasing. Good luck!
The normal wavelength output of a YAG laser is not in an erbium absorption band (efficient pumping of erbium fibre requires a wavelength of 980 nm or 1,480 nm) and so YAg is not suitable for pumping erbium doped fibre lasers.
Doped fibre is not an essential gain medium; for example, Raman lasers use a non-linear effect in the fibre to provide the amplification. However as the use of a non-linear effect results in the need for high optical pumping powers.
What output lasing wavelength do you want? This will define your options. Be aware of the need for laser safety.
You need actually fiber with gain meduim and pump laser. Most available is Er doped double core fiber, depending on Er concentration you may need only few meters. For pump use 920-980 nm LD with MM fiber attached. Splice ot just put very close the MM fiber with doped fiber. Idea is to have core of MM fiber close to outer core of Er fiber. This is it. You do not have to add any mirrors of bragg gratings, since the end of Er fiber is a 4% mirror. you will get 1060 lasing if fiber suff. long. It will be not stable but lasing as a hell. In both sides...beware!
This is the simplest you can do in 1h if you have all.
Also if your pump is high power and pulsed, you do not even need a doped fiber, as was mentioned above.