Returning to the OP, if it's your first foray, browning blr in 308, don't get the lightweight version. This gun is fugly and used prices reflect this. If possible get it screw cut and fit a moderator, recoil will be reduced along with muzzle blast. Use 180 grn bullets minimum.
Red dot is probably better choice than a scope, vortex venom I've found is good but check them out as if you suffer from astigmatism they can be a trial. Red is the colour btw, peep sight or express leaf sight second best.
I used a diavari 1x6 scope for a long time and it was good but the reality is ranges don't really need a scope.
If you choose a bolt gun remember recoil will affect the follow up shots as you won't be posing for promotional images.
Practice and practice, use as much ammo as you can shooting offhand after you've zeroed the rifle. If you can dust a clay every shot at up to 100 yards (with it stationary) then that's good enough.
After your first trip, if you've managed to have a shot and managed to harvest a boar (youtube doesn't show the poor sods who didn't score) you can reassess your rifle.
Then any of the lever guns in 444 marlin, 450 marlin or 45/70 will be up for it but I'd still recommend using a gun with a mod, one of the ruger-marlins in 45/70 will be your friend for many a long day.
The bonus is they are great fun to shoot with reduced loads and will probably get loads more use than a dedicated higher velocity or high value bolt or double gun.
All this assumes that you have a free ammo choice and can use either cast or cup and core bullets. If copper bullets are mandated you're on your own as far as I'm concerned as I have so little experience to fall back on.

This is the start of a development load for my 30/30, eventually I'll modify the mould so that it has a 7mm meplat which should also increase the weight to just under 200 grns, up from its current weight of 184 grns. I hope to get near 2000 fps mv with this load and the recipe will be going with me to the states next year when my brother, who lives there, takes me to hunt some hogs on a friend's property, amongst other things.
I'd like to try it on european boar but my age and dodgy knees are against me whereas in texas every thing is planned with fat old men with heart conditions and you only have to walk to the dunny.