Found these notes on a website somewhere recently....Sounds like the one to do, especially as the writer indicates it isn't difficult and can be done in a day.
Climbing Mount Olympus is not that difficult. I've done this twice so far and plan to do it again in two months, when weather permits. It is estimated that 10,000 people climb Mount Olympus each year. The European E4 hiking path also crosses the Olympus national park. It will take you two relaxed days, although you can do it in just one, if you depart early in the morning. Your starting point will be Litohoro in Pieria county (northern Greece), which is the busiest and safest route. You can get there by bus (www.ktel.org), train (www.ose.gr) or car (use the A2 highway connecting Athens to Thessaloniki). You will need to stay in a hotel there, as you want to get up early in the morning for your hike. Get a taxi to Prionia site, which is the furthest point accessible by car. From there you start climbing the well marked path to Zolotas (or Spilios Agapitos, or A) refuge (altitude 2,100 m., capacity 100 persons, tel. +30.23520.81800 or 81329). It will take you about 2.5 h. From that point, you will take the path to Mytikas (the highest peak), which will take you to the summit through Skala passage (another 2 h). Once to the top, you can enjoy spectacular views and sign the visitor's book located in the cabinet under the metal flag. On your way back you may use the same route or return through the Musses plateau path. All paths are clearly marked, so you will not have any orientation problems. Furthermore, it will most probably be crowded up there, so you may ask anybody for assistance, if needed. When you get back to Prionia, depending on the time of the day, you may return to Litohoro either by a taxi or car, or you can walk the continuation of the E4 path through the Enipeas valley. This is the most beautiful part of the entire hike and is highly recommended. Walking the Prionia-Litohoro path involves crossing an amazing forest and visiting the deserted St. Dionysius monastery and caves used as chapels. It will take you another 4 h.
All in all, climbing Mount Olympus is a great experience and is highly recommended.