Yup, Anka, it really is that simple!
Just follow the instructions on the embassy site Satellite gave, and to add from personal experience-
I'm not sure if you can do this in the States ahead of time, but, you print out that silly form, bring it to the embassy, get a consular officer to stamp it after you sign it in his presence for $30, then bring it to the ministry of foreign affairs. For their stamp you'll need to wait, as stated, five business days w/ no expedited option, but MAKE SURE YOU GET THE SBERBANK SLIP AFTER DROPPING OFF THE FORM!! This slip you will need to bring to a sberbank to pay for the stamp, and of course their lines are always awfully long (-don't forget to ask, kto posledny?? amidst all the babushkas paying for their cheap natural gas-!!). The thing is, if you forget to pay before going back to pick up your svidetel'stvo, the kind bureaucrat will send you off to pay, and with sberbank's notoriously long lines, you may not make it back before lunchtime! So, make sure you take this slip and go pay before the five business days are up.
The passport translation part is pretty self-explanatory, just make sure it's notarized, and make sure the Cyrillic version of your name matches your visa/svidetel'stvo, not just the translator's opinion of how it translates. THIS part is important, because you'll see on this and many other similar sites the woes of English-speakers married to Russians with name problems-getting plane tickets, etc-since when translating from English to Russian back to English you'd be surprised all the variants that pop up!!
Lastly, I'll add that when I ran into some trouble at ZAGS and the worker wanted something on the svidetel'stvo (I don't even remember what!) changed, with a stamp added, the kind consular officer added the stamps to my corrections free of charge (this was at the Moscow embassy), so you may run into that trouble.
The funniest part of the whole experience was when I asked the consular officer whether he needed proof of my not being married ever before notarizing my svidetel'stvo- he said that he could care less what the doc said, it was just for the Russian officials! Perhaps at the ministry of foreign affairs they do this ever-so-necessary double-checking, but I somehow doubt the credibility or expansiveness of any databases they have access to!!
Hope that helps, and good luck with scheduling your registration,
Nick