Hi,
It is not super-easy but the easiest way is to install the anaconda python distribution from:
Anaconda can install in the user directory of windows without admin rights
You need a java engine for it, and the windows python orekit version in conda is prepared for the one installed by:
conda install -c cyclus java-jdk
Then orekit is installed by:
conda install -c ssc jcc
conda install -c ssc orekit
I think that you then should be able to do "import orekit"
Can highly recommend using jupyter notebook if you are beginner, install by:
conda install notebook
and then type "jupyter notebook" and you get a nice web interface to python.
I will consider if it is possible to make a download-and-go version :)
Good luck!
/Petrus