Excellent recommendations from u/onedayfourhours, I am going into some of these, but I will give you my plan, as a beginner, what I have set for myself. I wanted to set this as series of courses, asa I think it will be interesting to have a predefined path someone was thinking about, and some of these is giving additional resources within each lesson, possibility to discuss what you have been listening to, etc.
Intro to Philosophy MIT's 18-lecture course, it starts very interesting and is improving from there.
Critical reasoning for beginners - YouTube University of Oxford's 6-part course on Critical Reasoning.
A Romp Through Ethics for Complete Beginners - YouTube Same university
Philosophical Problems - Free Course by La Trobe University on iTunes U - Introduction as well, but covering different philosophical topics then MIT's one.
I will then follow with a course on Plato. So far, I have read few of his dialogues, but will return to them and go in more structured fashion:
Ancient Philosophy: Plato & His Predecessors | Coursera
Reason and Persuasion: Thinking Through Three Dialogues By Plato | Coursera
These should finish my "semester 1", I already have further plans, with courses to cover Roman philosophy (Seneca, Cicero) and continue with some medieval and Christian thinkers, going on further until 20th Century and existentialism.