Answer: true.
Explanation: The statement is:
"El postre que va a servir Aura lleva (has) fruta."
A rough translation of this is:
The dessert that Aura is going to serve has fruit in it.
Reading the invitation, we can read:
"... ¿Y de postre? ¡Claro, un delicioso flan de naranja! ...."
Where Aura says that the dessert is an orange (fruit ) flan, so the dessert has fruit on it, this means that the statement is true.