Lubna,
Unfortunately, you do have to go through several steps to get the best result. For one or two files this is not too much trouble but if you have many it is labor intensive. ImageMagick to the rescue. This is a command line tool that I have used for years to convert images in just about any way possible. You can even script the tool for batch conversions.
Once installed you would convert your sample file from a Command Line using:
magick AlMazraaAlQibliya.jpg -colorspace Gray -threshold 50% AlMazraaAlQibliya_tmp.jpg
or the following if you also want to change the file type
magick AlMazraaAlQibliya.jpg -colorspace Gray -threshold 50% AlMazraaAlQibliya.tif
You may need to adjust the threshold value depending upon your images. Please note, these images are still 8-bit images. You could also apply additional conversion to change to true B&W 2-bit images, if needed.
magick AlMazraaAlQibliya.jpg -colorspace Gray -threshold 50% -colors 2 -depth 1 AlMazraaAlQibliya.tif