You can use User= and Group= directives in your unit file.
http://www.freedesktop.org/software/systemd/man/systemd.exec.html
Systemd unit files are pretty well documented (compared to lot of other open source software). The directives you can use in unit files are spread out over many man pages, so information might not be so easy to find and understand, especially if systemd concepts are not so clear to the reader.
But there is an index page for all directives:
http://www.freedesktop.org/software/systemd/man/systemd.directives.html
There is more documentation available:
http://www.freedesktop.org/wiki/Software/systemd/
It's a while I have been reading it, but if I remember correctly the
Systemd for Administrators blog series gives a reasonable background on the concepts.
For all questions of type
How can I tell...
Just a add ExecStartPre= directives with the commands suitable for testing/querying the desired items.
E.g.
ExecStartPre=/usr/bin/whoami
Note that systemd does not use a shell by default, but you can always do so manually
ExecStartPre=/bin/sh -c "if true;then echo true;fi"
You can see the output of such commands using systemctl status <myunit>
or by looking into the journal using the journalctl
command (as root!).