I have written a small blog post around SSL Handshake between the server/client. Please feel free to take a look.
SSL Handshake
A small snippet from the same is as follows:
"Client makes a request to the server over HTTPS. Server sends a copy of its SSL certificate + public key. After verifying the identity of the server with its local trusted CA store, client generates a secret session key, encrypts it using the server's public key and sends it. Server decrypts the secret session key using its private key and sends an acknowledgment to the client. Secure channel established."
It also describes the symmetric/asymmetric encryption which is used for SSL certificates and data transfer once secure transport is established.