Brief History
These are the most notable milestones, in my view, that over the last three centuries have led to the development of Organic Chemistry as we know it today.

At the end of the XVIII Century
The Organic Chemistry enigma: the vital force. It is already realized that organic compounds are formed by a very limited number of different elements.

Beginning of XIX Century
Chemists begin to glimpse a structural order. The law of multiple proportions is established.

1820-1830
Urea synthesis: a bridge is laid down between inorganic and organic chemistry. The precision of elemental analyses is improved. An unsuspected complication arises: isomerism.

circa 1830
The organic radicals are proposed as an ordering principle. Discovery and profusion of organic radicals.

1840-1850
Establishing further order amidst organic radicals: the concept of substitution. Definition of derived radicals.

1850-1860
Ordering by compound type. Unifying radicals and compound types. Internal structure of radicals: The discovery of carbon tetravalency and its capacity to form endless chains.

1860-1870
Tetrahedral structure of carbon: optical isomerism. First modern formulas.

Recent Milestones
Hexagonal structure of benzene. Set up of resonance theory. Development of X-ray diffraction and mass spectrometry. Conformational analysis: cyclohexane stereochemistry. Discovery and development of Nuclear Magnetic Resonance.
This summary has been extracted in part from the book From Vital Force to Structural Formulas O. Theodor Benfey, ACS, 1975
Most of the biographical notes have been taken from the Larousse encyclopedia.