If you weren't aware, Google have created their own virtual learning environment called Google Classroom. It's a decent VLE, with a number of useful features. So far, so good!
E-learning management system is the system which provides a virtual platform for the educators and institutions to give an online course of their professional courses to the learners.
Google aren't satisfied with owning (and monitoring!) half the world. Google Classroom is one of their latest ventures, and it's their first stab at e-learning and mobile learning software.