Raise support ticket with SDL to get the mountpoint GUI extension installation. After this GUI extension, you will see a mountpoint in the CME, using which you can browse the images from media manager.
For the reference to the media manager integration with SDL, refer: SDL Tridion Connector 1.1 for SDL Media Manager. This reference is for web 8.1, if you are on any other version then you should be able to find something similar for that version also.
Update based on clarification
For the purpose of creating components using core service, you will have to add reference to ecl libraries and follow the steps given below:
Load the mountpoint, Search the image by name, Extract ecluri from the searched image, Using ecluri create stub component, using the method:
public IDictionary<string, string> CreateOrGetStubUris(IEnumerable<string> eclItemUris)
After above steps, you can reference ecluri in the component creation.