This is for one of the .ca websites. It's a locally focused fitness service type of business. It has been around for about 10 years but I just redesigned it and took it live sometime in first week in August.
Traffic referred by google.ca + google.com for last 35 days = 1198 visitors (from server logs).
google.ca = 1115/1198 = 93.1%
google.com = 83/1198 = 6.9%
Of the 83 visitors that arrived via google.com many of them were from maps.google.com so maybe google runs all maps search (local search) traffic through through .com rather than .ca
I was thinking of that might explain why your client claims to be getting high google.com referrals if they are listed in Local Places but not getting any organic referrals.
Total traffic for that same period from all sources = 2354 visitors (there are a few days missing due to late installation of Piwik Analytics after site went live)
Search Engines = 1110 / bounce = 24.68% - average time on site is 2 min 42 seconds
Direct Entry = 996 / bounce = 43.67% - average time on site 1 min 50 seconds
Websites = 248 / bounce = 28.23% - average time on site 2 min 12 seconds
The high bounce rate for direct entry visits is normal because many of them come to 1 page (looks like via bookmarks, landing directly on schedule page) to check the class schedule for the day then leave right away.
The site gets a lot of direct entry traffic from sources that I can't figure out?! I'm sure not all of it is actually someone typing it into the address bar or arriving via bookmarks (even though they've been around for 10 years but I guess it's not impossible).
United States 93
United Kingdom 4
7 various other countries 18
Unknown 158 (I missed a few days before installing GEO IP)
British Columbia 14
Various others (minor)
87.1% of the Ontario traffic is from municipalities within a 30 kilometre radius of the location. It's VERY efficient and VERY HIGHLY targeted traffic that Google is sending.
It might be worth mentioning too that the site had completely dropped off the radar on Bing/Yahoo and was suffering tremendously in Google. It was a mess. Site had an unused Wordpress installation that had been hacked and polluted with pron, site owner was trying to maintain it herself in final days and had created triplicates of the site in upper and lower case (testing testing testing) (the search engines were happy to index it all in triplicate), 10 years worth of orphaned files, there was another live domain sharing the same webspace that ended up getting tangled up with it as a subdomain, search engines gobbled that up too.
It brought me to tears. But worst still was after getting it live for a few days and redirecting and/or 410'ing soooooo much traffic one day owner says to me she didn't like lack of images! I says! it's in intensive care on life support, I'm worried about keeping it alive and you're only concerned about what shade of lipstick will look good on it in its grave?! Lets stop the bleeding then we can dress it up and make it look pretty again.
It's been a month+ now and traffic has pretty much doubled as well as getting back onto page 1 in Bing/Yahoo for many of its targeted search terms. It has taken over spot #1 for many terms that it never previously ranked #1 for. Overall I'm happy with the progress of the patient! Full recovery expected (now I can get some sleep).
Hope that gives you enough of an overview. There might be a bit of a discrepancy by 1%-2% here or there in the numbers above -- I scrunched up some of he stats to speed up the assessment. Overall it's very accurate.