Groenewold was born on 29 June 1910 in Muntendam in the province of Groningen. He graduated from the University of Groningen, with a major in physics and minors in mathematics and mechanics in 1934. After a visit to Cambridge to interact with John von Neumann (1934–5) on the links between classical and quantum mechanics, and a checkered career working with Frits Zernike in Groningen, then Leiden, the Hague, De Bilt, and several addresses in the North of the Netherlands during World War II, he earned his Ph.D. degree in 1946, under the tutelage of Léon Rosenfeld at Utrecht University. In 1951, he obtained a position in Groningen in theoretical physics, first as a lecturer, then as a senior lecturer, and finally as a professor in 1955. He was the initiator and organizer of the Vosbergen Conference in the Netherlands for over two decades.