Speaking as a machinist those pulleys are not simple, though they look so. They are a pulley and clutch drum combo, and you need both. To use them they must fit the chainsaw shaft properly, both in diameter and length. Since one pulley has no bearing you may be in luck but you will need a machinist to look at and measure things. If the Makita shaft is a standard size for needle bearings then you may be able to have the plain pulley modified so that a needle bearing can be used in it. Hopefully it can just be bored to a larger size to fit the needle bearing. Maybe it is already the proper size and you can just press the needle bearing into the pulley. If the bore is too large then it could be bushed down to fit the needle bearing. But there is also the issue of length. The clutch threads onto the end of that shaft and traps the pulley/clutch drum combo. If the bearing is too long the clutch will bind against the bearing. If the pulley/clutch drum combo is too short then the pulley will move back and forth along the shaft excessively, which may be a problem. My feeling is that the Makita shaft is made to a standard size to fit a standard size needle bearing because that is the cheapest and best way to engineer something like this. In fact, it may be that the pulley/drum combo may already be bored to accept the proper bearing. Look here for standard needle bearing sizes:
McMaster-Carr
Look here for needle bearings that use a larger bore:
McMaster-Carr
Most needle bearings are the drawn cup style and that is the type of bearing shown in the picture you posted. But there are needle bearings with a thicker outer race which could be used if the bore in the plain bore pulley is too large for a standard drawn cup bearing. This is probably than using a bushing to make the hole smaller to accept the drawn cup bearing, but there may not be enough material in the pulley for the bigger bore. Though it does look like there is plenty of material. If the pulley needs to be bored to accept the larger type bearing you will need a competent machinist to do the work. Don't think you can just drill out the pulley. It may work for a little while but will ultimately fail, and fail soon.
Eric