How do you create the relationship between the form and the database style “add” functionality?

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Hi —

I hope this is okay to ask. Lots of research has gotten me to the point where I can now create these forms, and style them to look like a database… but my challenge is, I cannot make the form actually behave like a database with the “add” or “remove” functionality, or storing entries like below. I can’t figure out how to research this more, since I do not know what this kind of relationship is called. Does anyone have any resources, codes or just descriptors I can use to learn to recreate this “database” style behavior with forms?

Hope you guys do not mind the extreme novice question. Appreciate any insight.