Graphene refers to a two-dimensional crystal made of carbon atoms arranged on a honeycomb lattice. This material presents interesting electronic properties regarding fundamental physics as well as industrial applications, such as an exotic low-energy band structure and high charge carrier mobility. Its fabrication through the graphitization of SiC is a promising method for electronics. We studied this system using scanning tunnelling microscopy (STM) and ab initio numerical simulations with the aim of characterizing the graphene - SiC(000-1) (carbon face) interface and studying the impact of the substrate on graphene's electronic structure. After an introduction to the graphene topic and a description of our investigation techniques, we present our lightly graphitized samples obtained under ultra-high vacuum. We identify two interface structures, the native SiC(000-1) surface reconstructions named (2x2)C and (3x3), on top of which lie graphene monolayer islands with a high rotational disorder leading to various moiré patterns on STM images. Using STM, we show that the graphene/(3x3) interaction is very weak. We then study the stronger graphene/(2x2) interaction successively from the point of view of the graphene and the reconstruction states, in the direct and reciprocal space, using both our experimental and theoretical methods. Finally, we consider the impact of interfacial defects observed by STM through graphene/(2x2) islands and modelled with hydrogen adatoms on the electronic band structure and doping of graphene