Squilvia is first seen entering the Krusty Krab. Squidward sees her and quickly falls in love with her. Squidward tried to talk to her, but was very nervous and SpongeBob offered to train him to be on a date with her.
Squilvia has red pupils in yellow eyes (that are slightly brighter in color than Squidward's). She has short black hair, a curved nose, and dark pink lips. She is a slightly different shade of blue than Squidward. She wears a pink dress with ruffle tips and carries a velvet purse. No one knows if she is new to the town or not knowing if she has any friends. Most likely she's new to Bikini Bottom.
She was seen entering the Krusty Krab to order food. She found it quite interesting. Squidward immediately fell in love with her, and tried to talk to her, but was too nervous. SpongeBob helped him, and told Squilvia about Squidward, and she agreed to go on a date with him.
Unfortunately for Squidward, it had been a long time since the last time he went out on an actual date, but SpongeBob offered to help him by setting him up on a "practice date." However, the practice date went terribly, causing Squidward to yell at SpongeBob to stay away from him, but then he turns around to see Squilvia standing there, and she admits that she had witnessed the entire exchange.
At first, Squidward assumes that Squilvia won't go out with him since he acted like a jerk to SpongeBob. But Squilvia tells him that she actually likes him even more, admitting that she thinks "a guy who can't take fools lightly is 'totally dreamy.'" She then tells Squidward that they should go eat.
Squidward is Squilvia's boyfriend in the episode, "Love that Squid". See the "History" section for more details.
It is unknown what happens to this relationship after this episode. It is possible that they went on one date and ended it or dated for a while with the same result. However, this is not confirmed. It is possible that they are still dating by the time of The SpongeBob SquarePants Movie. If they are still together, it is suggested that they are not living together at this point. This can be proven with two pieces of evidence: 1. SpongeBob is easily able to get into his house and Squidward is able to kick SpongeBob out without confrontation with Squilvia. 2. He is able to speak loudly when he says, "Too bad SpongeBob's not here to enjoy SpongeBob not being here."
Squilvia is a portmanteau of "squid" and "Sylvia," the latter being a female name.