Yes you will
Thank you for playing Star Wars: The Old Republic
I just did this and do not have my Cartel coins.
I pre-ordered the CE and then my daughter was born. So the thing got moved and lost in the attic. My wife made me clean up a few days ago (yeah, that's how things work), and I found it.
Checked around and found your post that shows there was a point in applying the CE code now that the game is F2P. Based on that, I thought I would get the coins as a "bonus" reward. So instead of re-selling the game to try and at least get some of my $160 "investment" back, I decided to try it out.
I do not see any Cartel Coins. Please help.