Bremmer trained as a painter and artist, working in journalism from 1893–1895 and began teaching art in 1896.
In the 1906-1907 season, Helene Kröller-Müller, then one of the richest women in the Netherlands, was his pupil and she soon began collecting art.
Bremmer advised her to put together a collection, later forming the basis of the Kröller-Müller Museum.
In 1912 he came into contact with Bart van der Leck, providing financial support and a monthly allowance.
In 1906 he published the art critique Eene inleiding tot het zien van beeldende kunst.