If presuming these canons take place in the same universe...
โ While she is a goddess, Julia is able to hear people's prayers. These are not necessarily prayers to her specifically, so perhaps one day she overhears one of the boys praying to Castiel.
If these canons take place in different universes...
โ Julia enters the Supernatural verse. Different worlds are part of her canon, she's even traveled to one before. โ Perhaps Cas senses her presence during or after her arrival, either as a goddess or when she is a magicless god, and either he or the boys could go to investigate and meet her.
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If these canons take place in different universes...