I do not know why you received those downvotes. Most of what we have in the Ugaritic language is are the Ras Shamra tablets (quoted by scholars as RS+a number). I haven't read anything on mythology and religion in particular; In Eric H. Cline's book "1177" the letters quoted mostly concern the palace culture or the fact that the fabled sea peoples behind the Bronze Age Collapse have, at least partly, been locals who were reduced to piracy by famine. They also might have called the Greeks Hiyawa since it sounds a lot like the Hittite Ahiyawa, which in turn is similar to our own "Achaeans".

I do not know if it was Cline or one of the two other books I've seen citing the Ras Shamra tablets, but the book of Danel, found so far only in Ugaritic, appears to be refered to in the Old Testament. It's very likely that there are parallels in phrasing and mythology to Ugaritic in particular as well. I know that the Psalm 29 has phrasing also used in praising Baal, but do we know it through a hymn discovered in the Ugaritic language? or in Akkadian? or in another language? I don't know. The Baal cycle does clarify some of the phrasing in the Old Testament, too. And it should be Ugaritic.

The tablets about the Sumerian king Urukagina are in Sumerian but some of the phrasing (like "widows and orphans") has found it's way into the Old Testament as well.

So: If you want to know only about Ugaritic literature look into "Bibel und Babel", written in 1906 by Friedrich Delitzsch. Today we have a lot more than just the Ugaritic books that we had in 1906 so Delitzsch is showing every place in the Old Testament which has a parallel in Ugaritic in particular. It's dragons, demons, Gods and phrasing. If you want to know more about Bronze literature in general, and it's influence on the bible (and the Greeks) I'm pretty certain each book on that topic will mention those parallels, too.