We drove into the park through the southern entrance at Cottonwood Visitor Center. From here we hiked to Lost Palms Oasis which was a very nice hike that featured some cool parts through small canyons, dry river beds and at the end an oasis with palm trees. To reach the oasis you had to walk down a fairly steep canyon. The view was of course much better from the top of the ridge where we stopped for some snacks.
The second day we picked up some breakfast at the local supermarket and drove up to Keys View. The plan was to sit and watch the view while eating. We ended up eating in the car and then went out for 5 min to take some photos. The reason being that it was extremly windy and cold outside. From Keys View you could look towards the south and Palm Springs which is outside the National Park.
After a sandwich lunch at Cap Rock (were we found some bolted climbing routes which made us miss our climbing gear) we hiked Ryan Mountain. It was a quite easy hike which did not take more than 30-40 min. This peak is in the center of the western part of the park and from here you have a great view of the whole Joshua Tree National Park.
Joshua Tree is a great place if you like hiking, desert and large boulders. The rock formations you find here are amazing and there are many places to play around among the boulders.
We found it magical and will be going back. We highly recommend a visit if you have not been here.