Alright, um, I think that you can only search for trains and subways there, but no buses.
When you scroll down the link below, there's a bus timetable for your info. (The link is about the same as the one Hiroyuki provided earlier, but this one here is in English.)
http://www.fsw.tv/english/access/railway.html
The bus bound for Chunichi(East Gate) could be a special shuttle bus that runs only when there's an event at the Fuji Speedway, because I couldn't find any other information anywhere. And the bus bound for Fuji Reien(West Gate) could be the regular local bus, but that doesn't run so often.
What's more, the first(earliest) bus leaves Gotemba at 9:30am as you can see it in the timetable, that means you can't make it by 9am...LOL
Well, if you want to try the other way, you can take train to JR Suruga Oyama (a couple of stops from JR Gotemba) and take the bus from there, but the first bus leaves at 8:50am, and it takes you about 20 mins to Fuji Reien, and another 10 mins walk to FS, which means you still cannot arrive by 9am.
I'm getting a little confused myself...^^;
That's probably why they suggest that you come by taxi as a first choice in the access map...? ^^;
But I do understand paying 3,500yen for 20min ride sounds outrageous while 610yen would do.
Q