[Works on Mobile] Click the breeding structure, then click two monsters. Wait for the monster you bred. Click on it once it has bred then wait for it in the nursery. Once it's done incubating, click on it and you have a new monster! Then you can start breeding all over again until you have them all. You need 3 monsters to unlock the Shroomind. You need 6 monsters to unlock the Feerie. For breeding and incubating, the timer needs to count up to 100 for it to be done. All monsters take the same time.
All images and sounds comes from the New Spark Wiki