To measure the time of your HTTP request with curl, you can use the -w (--write-out) option:
curl --silent -o /dev/null -w "%{time_connect};%{time_starttransfer};%{time_total};%{time_appconnect};%{time_pretransfer}\n" https://example.org
0.121080;0.685826;0.685881;0.571310;0.571396
With -w you can make curl display informations for your HTTP request. As seen in the example above you can e.g. output this in a CSV format for further analysis.
Informations to the specific informations can be found in the man page Show archive.org snapshot :
[...]
              time_appconnect
                             The time, in seconds, it took from the start until the SSL/SSH/etc connect/handshake to the remote host was completed. (Added in 7.19.0)
              time_connect   The time, in seconds, it took from the start until the TCP connect to the remote host (or proxy) was completed.
              time_namelookup
                             The time, in seconds, it took from the start until the name resolving was completed.
              time_pretransfer
                             The time, in seconds, it took from the start until the file transfer was just about to begin. This includes all pre-transfer commands and negotiations that are specific to the particular protocol(s) involved.
              time_redirect  The  time,  in  seconds,  it took for all redirection steps including name lookup, connect, pretransfer and transfer before the final transaction was started. time_redirect shows the complete execution time for multiple
                             redirections. (Added in 7.12.3)
              time_starttransfer
                             The time, in seconds, it took from the start until the first byte was just about to be transferred. This includes time_pretransfer and also the time the server needed to calculate the result.
              time_total     The total time, in seconds, that the full operation lasted.
[...]