Getting off planet is easy, but having somewhere to go once you are off is more the question.
For new players the best bet is o join a faction as they will come and pick you up and take you to a ship so you don't have to buy one (which you couldn't afford) and give you jobs to do so you don't get too bored.
if you don't want to join a faction then you can go to a planet and take a shuttle to another planet and walk around on that one instead. Alternatively you can keep clicking the CP links to get enough so that you may eventually be able to create yourself a Sleuth and then start roaming the galaxy.
You also may find the odd useful thread in the commerce section about getting jobs.