Your Spanish is very good but you have some mistakes. Althoutgh they aren't much important I'll correct them:
Penélope es española, de Madrid. Es actriz, tiene 34 años y vive en los Ángeles.
El padre de Penélope se llama Eduardo Cruz y es vendedor de coches. La madre se llama Encarna Sánchez y es peluquera. Penélope tiene dos hermanos. Sus nombres son (it's plural) Mónica y Eduardo. Mónica es actriz y cantante. Eduardo es cantante y musico. Edurado y Mónica sus gusta cantante.
What did you want to say in the last paragraph?? I don't understand it... Did you want to say they like singing??
And finally you can write that her boyfriend is Javier Bardem, they have had a Child this year and some of her films (Bandidas, Volver, Los Abrazps Rotos...).