Schieder attended primary school in Hütteldorf, in the western suburbs of Vienna, the Goethe-Gymnasium in Astgasse, and the Gymnasium Kundmanngasse. He graduated from the University of Vienna with a master's degree in economics. Subsequently, he started work in the economic policy department of the Austrian Chamber of Labour.
In the 2006 national elections, Schieder became a member of the National Council. In parliament, he served as his group's spokesperson on foreign policy. From 10 January 2007 he also served as international secretary of the SPÖ federal organisations.
On 28 October 2013 Schieder was elected parliamentary leader of the SPÖ in the National Council by the parliamentary club of his party; he succeeded Josef Cap who had held this position for 12 years. He resigned in 2017 and instead chaired the Committee on Foreign Affairs. In addition to his parliamentary work, he was a member of the Austrian delegation to the Parliamentary Assembly of the Council of Europe from 2014 until 2019. Within the Assembly, he served on the Committee on Legal Affairs and Human Rights.[1]
In addition to his committee assignments, Schieder is part of the parliament's delegations to the EU-North Macedonia Joint Parliamentary Committee, which he chairs,[4] and for relations with Bosnia and Herzegovina, and Kosovo.[5] He is also a member of the European Parliament Intergroup on LGBT Rights[6] and of the URBAN Intergroup.[7]
In November 2021, Schieder joined a group of seven Members of the European Parliament led by Raphaël Glucksmann to Taiwan to send a strong signal in support of the self-ruling island, despite a threat of retaliation from China.[9]
Schieder has one son with fellow SPÖ politician Sonja Wehsely. In his private life Schieder is involved as functionary at the SK Rapid Wien and as president of the FV Austria XIII. He is inspired hiker, health athlete, and long-term member of the Austrian Friends of Nature.