Do these sentences have the same meaning?
How did you learn of that?
How did you hear about that?

Question

Answer

How did you learn of that?...sounds a bit outdated. Are you reading Shakespeare or something?
How did you hear about that?...fine.

Where did you learn that.
How did you learn ABOUT that.

Answer

Yes, they are the same

Answer

Yes, they are the same.
Interestingly, you can also say 'how did you hear of that' and it still means the same. It is less common though.