It looks like aloe nobilis. It is a fairly slow growing succulent that produces a bright orange - red flower spike when it blooms. It can be grown in a container or in the ground. The sun does affect their color - red is like a sunburn, although I don't know if it is harmful.
These aloes require little care. They are low-water use plants and get few diseases or pests unless they are overwatered.

Here is a link that might be useful: succulents in containers

The flowers attract hummingbirds, the plant is not and never will be invasive. Give good drainage and water lightly to moderately in summer and fall--they get along fine on rain in winter/spring. The red indicates a little stress, not a problem, it is one of the beauties of the plant.

Great intro to a beautiful genus, enjoy!

Great plant!

What I forgot to mention is that my neighbor did not include any roots with the cuttings. She just cut them with a sharp knife. They've been on my front porch for two days - can I just stick them in the ground? Or do I have to root first?

If it is not a scalding hot spot and the soil is nice and loose (fluffy), they can root pretty quickly in mild temperatures. If it's too hot they'll go dormant for the summer and not try to root themselves until fall, so you might try to root them in a pot on the patio if that is the case and plant them in October when it cools down.

I've had cuttings of Aloes sitting around for a year not rooting, then suddenly get going, so don't worry if they take their own sweet time.

My aloe nobilis transplants are doing great! I even have a flower opening! I did not add sand to the dirt. I rarely water. There is new growth in all of the rosettes. Thank you so much for all of your input!

You succulent people take your succulents very seriously! I like that! I'm sure I'll be back