With that line of code
value=($(jq -r '.key1' jsonFile))
you are assigning both values to an array. Note the outer parantheses ()
around the command.
Thus you can access the values individually or echo the content of the entire array.
$ echo "${value[@]}"
aaaa bbbb
$ echo "${value[0]}"
aaaa
$ echo "${value[1]}"
bbbb
Since you echoed $value
without specifying which value you want to get you only get the first value of the array.