He published papers on many types of spiders, in particular describing specimens found on the Chevert Expedition of 1875.
A lawyer by profession, he was a keen horticulturalist and president of the Board of Trustees at the Australian Museum between 1913 and 1918.
[2] Bradley was a member of the Royal Horticultural Society of Great Britain; he was the first treasurer of the Linnean Society of New South Wales, a trustee of the Australian Museum for 40 years, and from 1913 to 1918 the Crown Trustee of that institution.
In 1874 (then a lieutenant) he visited England, and attended a course of artillery instruction at Woolwich.
[3] Bradley lived in North Sydney, and collected a local mouse spider.