Hello, I am also new to Skype today, and am having the same problem - and hope someone will answer you!
When I had first installed Skype, I was taken to the part where you can search for people that you want to ad to your cntacts, and successfully found one.
Now that I have logged in again, I cannot see anything on the screen showing the contacts list.
I am using Windows, and have installed Skype again this evening in case there was a problem with the first installation.
I am hoping someone from Skype will answer, and be kind in their explanation - I am not particularly computer literat!