Da + preposition alway means that the object of hte preposition is "that". For example "darüber" means "about that", and "deswegen" (genitive of da is des) means for that reason. We actually do somethign similar in English. You can say "therefore" to mean for that reason; "therein" to mean in that; and so on (thereto, therewith, thereon, thereby, etc.).
In this case the literal translation would be "out of that will come to be love soon", which when you make it more natural in English just means that "that will become love soon".