Hi Dan,
Sadly it's not that simple.
She'll still be travelling on her Filipino passport and so will need visa(s) as a Philippine National.
Travel within EU is somewhat easier as spouse of EU national when travelling together. She'd need to apply for Schengen Visa from the Embassy/Consulate of the destination country.
There's a lot of threads here on the latest requirements of Schengen Visa a quick search will find them

Good luck