Most books on Indian history deal with Congress, here a few examples that go into specific depth:
Bose, Subhas Chandra, The Indian Struggle, 1920-1942 (Calcutta: Netaji Research Bureau, 1964)
Kaul, Chandrika, Reporting the Raj: The British Press and India c.1880-1922 (Manchester: Manchester University Press, 2003)
Kaushik, Harish P., The Indian National Congress in England (1885-1920) (Delhi: Friends Publication, 1991)
Low, D. A. (ed.), Congress and the Raj: Facets of the Indian Struggle 1917-1947 (London: Heinemann, 1977)
McLane, John R., Indian Nationalism and the Early Congress (Princeton: Princeton University Press, 1977)
Morrow, Margot D., 'The Origins and Early Years of the British Committee of the Indian National Congress, 1885-1907', PhD thesis, (London, 1977)
Nehru, Jawaharlal, An Autobiography (London: John Lane, 1936)
Nehru, Jawaharlal, Discovery of India (Calcutta: Signet Press, 1946)
Owen, Nicholas, The British Left and India: Metropolitan Anti-Imperialism, 1885-1847 (Oxford: Oxford University Press, 2007)
Sarkar, Sumit, Modern India, 1885-1947 (London: Macmillan, 1983)
Sisson, Richard and Wolpert, Stanley (eds.), Congress and Indian Nationalism: The Pre-Independence Phase (Berkeley: University of California Press, 1988)
Tomlinson, B. R., The Indian National Congress and the Raj, 1929-1942 (London: Macmillan, 1976)