The train itself runs with Amtrak equipment, I believe Amfleet. Amtrak crews run the train up to the Canadian borders where VIA crews will take over for the trip to Toronto. Amtrak's website indicates only snack bar service is avalible on this train.
Steve is right, it is Horizon equipment, the workhorse in the Midwest. Expect 3 or 4 Horizon coaches, and one Horizon food service car -- which is a snack car with probably half of it booth seating. No full diner service. Until the equipment shortage worsened last year, they were using Superliners on this run.
I did not ride the International, but I did observe it in Battle Creek, MI when I was there this past June. It shares the route with the Chicago-Detroit trains from Battle Creek to Chicago.
One other interesting note, from Chicago the Canadian border the trains number is 364, but once the train is taken over by VIA rail crews and enters Canada the trains number changes to 7088.
Not exactly. VIA Rail Canada's number for the eastbound train, what Amtrak calls #364, is #88. That's only if you used the train within Canada. Westbound Monday-Saturday train #365 is #85 on VIA, while the westbound Sunday train #367 is #685 on VIA. Now if you book a trip including travel in Canada through Amtrak, they treat the VIA portion like a Thruway connection (even though you don't get off the train), hence the 4-digit number. Amtrak calls it #7088 even though to them it's still #364. Likewise the westbound trains are #7085 and #7685.
So operationally, if you ride #364 from Chicago to Port Huron, go over the border into Sarnia, and continue onward through Ontario, you're now on VIA Rail Canada's Train #88. The 7xxx numbers are only used for ticketing purposes.
If you look at the Maple Leaf (Amtrak 63/64/65), there is a similar situation when the train enters Canada -- within Canada it's trains 96/97/98 but if you book through with Amtrak it becomes 7096, 7097, 7098.
Interestingly, the Cascades train that runs to Vancouver only has its Amtrak number throughout its trip.
Another sidelight to this, is that if you lived in Canada, and booked a trip to the United States on the International or the Maple Leaf, the portion in the USA is a different number since you're under VIA's numbering system.