As written, the statement implies that you had prior knowledge that something was happening in Libya, and you turned the TV on specifically to get more information.
If you were to say this instead (using '... and found out ...' as per Kate Bunting's suggestion in the comments):
"Last Sunday night I turned on the TV, and found out what was happening in Libya."
[it would imply that you turned on the TV, and then found out that something was happening in Libya that you had not previously known about.]
The above is not true with the change to using 'and found out' so not exactly the same, but it sounds better. Stick with the original version of this reply if you want to be explicit that you did not know previously.
If that is all too confusing, blame the retarded culture of editing previously posted replies :-)
Hope that helps,