Buses meet the car ferries at Stari Grad and run to various destinations such as Hvar town (27kn one-way). Don't take taxis from the ferry port, they're a rip-off.
You can easily rent a car for about 350 kuna a day if you wish to explore other parts of the island. The rental agencies have firm policy of a minimum of one day rental (no hourly rentals). You can also rent a scooter or moped for about 250 kuna a day. There are hourly rates for the mopeds and scooters. The roads on hvar can be steep and windy and there are no guard rails, so be careful especially if riding a rented moped which is old and has already done tens of thousands miles.
Keep in mind that there are only 2 petrol stations on the island: in the town of Hvar and near Jelsa. From Securaj to the nearest petrol station on the island is approx 50km