I found the following information on Ale Vera plant propagation:

Propagation

After an Aloe vera plant reaches a certain age, it will start to produce smaller plants around its base. You can then carefully pluck these baby Aloe vera plants out of the soil, and transplant them somewhere else if you like. You may want to temporarily give the baby Aloe vera plants a little more water then you normally would give a larger plant. In a few weeks, your baby Aloe vera plants should start to grow and mature.

Aloe vera plants will sometimes produce flower, .if their setting is conducive enough. These flowers will produce seeds when they die off. You can then plant these seeds in the ground, and produce your own Aloe vera plants that way. Just so you know, Aloe vera plants will rarely produce flowers if they’re grown indoors.

 Aloe vera plants are a fun plant to grow, and they are quite useful too. As long as you properly care for these plants, they should thrive in an indoor or outdoor environment.