Welcome!
Tell ya what, before you go dropping any money on a gun, it would be a terrific idea to get an idea of what you want if for and how often you will use it for that versus any other type of shooting.
The type of rifle you are looking at is a varmint rifle, meaning it is designed with a heavier longer barrel which gives added velocity and added heat resistance for shooting lots of ammo at varmints. The 308 caliber is not a great varmint caliber and that cartridge, while very popular, is not the first choice necessarily for Long Range shooting. Factory rifles like this all shoot about the same so brand is not that important and more money does NOT mean more accurate. There are some models to stay away from, and these are wicked sniper rilfe looking rigs with $300-400 price tags on them.
As far as "classes" go, F-Class is a Canadian sport designed for regular guys like you and me to use a rifle with a scope and a bipod, using a 223 or 308 and shoot at targets. It has really grown and diversified. There are two offical classes, the original FTR class for 223 and 308 only, and the more equipment-intensive "open" class for any caliber under 8mm.
A gun like yours would be fun to get you into the FTR class, BUT I would realy seriously get ahold of the Ontario Rifle Association, tell them you are interested in the sport, that you currentlty have no equipment, and you would like to see what it is all about. They will put you under the welcoming guidance of one of their folks who will set up for you to come out hen they are holding one of their excellent local "matches" or one of their introductory days.
If you want a rifle to have fun with and just get shooting, what you suggest is just fine. I would tend to suggest a 223 caliber because they do everything the 308 does, except for hunting, it has much less "energy". Energey does not matter one bit when you are trying to make a hole in paper, but too much energy can make it much hard to shoot comfortably, and that means accurately too.
If you think that getting involved in the target sport would be something you like (and you will LOVE IT) hold off on making a purchase, because you will get far better advice from people that actually participate in that kind of sport. Internet advice from anonymous internet forums can be hit and miss. Much advice comes from people with no stake in your choices, and as often as not, their advice is a way of validating their own consumer choices, not necessarily to give you the straight goods.
You would also be surprised what excellent used equipment is up for sale within those groups of people, and these can be outstanding starter rigs with custom barrels.
Remember that precision long range shooting takes a precision firearm, a skilled shooter, and proper tuned ammunition. Your results will be equal to the least of these three things, so start small, HAVE FUN, buy what YOU want, and remember what you paid for my advice.
What is sure to follow is a string of "Buy a Savage this" Buy a Remington That" or "Get a Stevens and put a barrel on it".
Seriously.... go meet real target shootersd face to face and let them show you what they use, and how they got started. They will almost certainly let you try their stuff and you can sample their rigs.... what gun store or internet forum will do that?