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The processing toolbox is not available. I followed the instructions in the README and added the path of the GDAL framework, but this doesn't help. It seems like, that the osgeo package for python is missing. Using pip3 to install gdal failed with error code 1.

This is the error message I get when launching QGIS 3.6:

Could not load 'processing' extension.

ModuleNotFoundError: No module named 'osgeo'
Traceback (most recent call last):
File "/Applications/QGIS3.6.app/Contents/MacOS/../Resources/python/qgis/utils.py", line 309, in loadPlugin
import(packageName)
File "/Applications/QGIS3.6.app/Contents/MacOS/../Resources/python/qgis/utils.py", line 672, in import
mod = _builtin_import(name, globals, locals, fromlist, level)
File "/Applications/QGIS3.6.app/Contents/MacOS/../Resources/python/plugins/processing/_init__.py", line 28, in
from processing.tools.dataobjects import * # NOQA
File "/Applications/QGIS3.6.app/Contents/MacOS/../Resources/python/qgis/utils.py", line 672, in _import
mod = _builtin_import(name, globals, locals, fromlist, level)
File "/Applications/QGIS3.6.app/Contents/MacOS/../Resources/python/plugins/processing/tools/dataobjects.py", line 51, in
from processing.algs.gdal.GdalUtils import GdalUtils
File "/Applications/QGIS3.6.app/Contents/MacOS/../Resources/python/qgis/utils.py", line 672, in _import
mod = _builtin_import(name, globals, locals, fromlist, level)
File "/Applications/QGIS3.6.app/Contents/MacOS/../Resources/python/plugins/processing/algs/gdal/GdalUtils.py", line 38, in
from osgeo import ogr
File "/Applications/QGIS3.6.app/Contents/MacOS/../Resources/python/qgis/utils.py", line 672, in _import
mod = _builtin_import(name, globals, locals, fromlist, level)
ModuleNotFoundError: No module named 'osgeo'

Python-Version: 3.6.8 (v3.6.8:3c6b436a57, Dec 24 2018, 02:04:31) [GCC 4.2.1 Compatible Apple LLVM 6.0 (clang-600.0.57)]
QGIS-Version: 3.6.0-Noosa Noosa, exported