A 15 km dirt road takes you from Ovacik to Babadağ, which is considerably steep and dusty, it is block paved from about 1/3 of the way up. The road is quite demanding for cars and drivers as well, drive up is only at your own risk!
I highly recommend you take the dolmuş service from Ölüdeniz (stops also in Ovacik and Hisarönü) which runs every hour between 10 a.m. and 17 p.m. in summer time. The dolmuş was 20 TL/person (return) in 2013 from Ölüdeniz. You can return with the same bus after two hours or stay on the peak for a while and watch the paragliders jumping off the mountain and have a cup of coffee at the Zirve Cafe.
When you get off the Dolmus there is a 1.5K walk on a good road to the summit. Make sure you stay on the road and do not try to climb the rocks. Take plenty of water with you in summer as the climb is quite steep. In autumn you must take warm clothing as it gets cold at the summit.
You are looking for a small box. It is a long way up here so if for any reason you do not find the actual geocache you may still log a find if you upload a photograph of yourself at GZ.
Small note on cache maintenance: There is a local cache guardian. Name and contact info on file with geocaching.com.