Enjoy yourself!
you may want to visit this place for brunch or coffee:
or to get a bird's eye view of Athens, like this:
you can go to Ladokola Bowling Center at Profitis Ilias.
There is a restaurant/cafe there.
http://www.islandclubrestaurant.gr/the-c-lounge/
Funny I'm in a place quite similar to the pic, but different place and name :D maybe overlooking the same sea though
The cafe at the bowling center has the best views in town. trust me.