Holding the citizenship of an EU member state automatically makes you an EU citizen, with a set of rights that exist on top of — not instead of — your national citizenship.
Free movement
The right to live, work, and study in any EU member state.
Electoral rights
The right to vote and stand as a candidate in European Parliament elections, and in municipal elections wherever in the EU you live.
Consular protection
If your own country has no embassy in a non-EU country you’re visiting, you’re entitled to help from any other EU member state’s embassy.
Access to institutions
The right to petition the European Parliament, complain to the European Ombudsman, and access most EU documents.
Non-discrimination
Article 21 of the Charter of Fundamental Rights prohibits discrimination on a list of grounds that includes sexual orientation — see “Why This Matters for LGBT People” for what that means in practice.