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If you have a 'REFERER' log, then your Googlebot visits should contain "Googlebot" in the REFFERER part of the log.
There are people sending Googlebot REFERER from other robots or browsers, so if you have an IP log you should check for 216.239.* for the deep bot, and 64.68.* for the Fresh bot.
You may check here for the def. of freshbot:
[webmasterworld.com...]
Regard to how do you see them is you must check your log files on the sever. Ask the hosting company for the file, you may be given a url and check it from the browser may just do it for you. To optimize your view, you may get the product "WebTrend", and dl the stat log and plug it into webtred and wala, you will see googlebot in there.
For new sites, freshbots don't come as often, but you get 1 deepcrawl / month. If you see your site on sj so far, the site is prob. ok. :) Tell your boss to chill.