This is actually old news. She said it on 23 July 2013.
http://www.bbc.co.uk/news/world-europe-23418593
She is not THE EU Vice President that acolade goes to the UKs Catherine Ashton. Reding is is EU Vice President for Justice, Fundamental Rights and Citizenship, one of seven Vice President roles.
// Looking ahead to the EU's future and next year's European elections, Ms Reding urged young people to vote and said "I want the EU to become some kind of United States of Europe - we need that if we want to be strong".
"I want a political union, over and above an economic union... we need strong institutions, a strong European government - the commission - and a strong European Parliament, maybe a second chamber for the government, like a senate... that's something to discuss in the European election campaign."
She also backed calls for the European Commission president to be directly elected, but said that would require EU treaty change. //
So that is HER manifesto. Others fighting in the elections will have different views about how Europe moves forward. It certainly isn't everyones view and is likely to be resisted in most member states.
Personally, I think a political Union would be impossible.