It is not given to all to do this job with celerity.
What is this "it is not given to do" construction? Where is it in the dictionary?
When people are particularly good at something they are often said to be 'gifted'.
'He is a gifted violinist'. 'She is a gifted volleyball player'. 'Trinity College, Cambridge, which is Isaac Newton's old college, accepts only students who are 'gifted' mathematicians.'
The notion that excellence in ability is some form of gift which has been given from birth runs high in Judeo-Christian society.
Hence the everyday expression 'It is not given to everyone to be able to make a nice cup of tea' is not at all unusual, both in sincerity and, as in my example, when said with irony.
Pretty archaic wording.
It is not given to all means that not all people have the ability.
Probably meant more like God has not blessed all men with the ability to do the job quickly.
It is not given to all to do this job with celerity.
We can rewrite this as:
[The ability] to do this job with celerity is not given to all [people][by God or Fate].