Run one command after another, even if I suspend the first one (Ctrl-z)

I know in bash I can run one command after another by separating them by semicolons, like ``` $ command1; command2 ``` Or if I only want `command2` to run only if `command1` succeeds, using `&&`: ``` $ command1 && command2 ``` This works, but if I suspend `command1` using `Ctrl-z`, in the first case, it runs `command2` immediately, and in the second case, it doesn't run it at all. How can I run commands in sequence, but still be able to suspend the first command, but not have the second run until I have restarted it (with `fg`) and it finishes? I'd prefer something as simple to type as possible, as I would like to do this interactively. Or maybe I just need to set an option somewhere. By the way, what is the proper term for what `Ctrl-z` does?