M2 ends at Ouchy.

No the restaurants are pretty sad and old but uncharming. There is a chain-style Italian place, a bunch of old-fashioned outdated restaurants with terraces, like Le Pirate, or you can pay through the nose at the Beau Rivage Palace. Good luck, Lausanne is not a very interesting culinary destination. Nor is having breakfast as a main meal a tradition in Europe (maybe perhaps in UK). It's usually something like bread or a pastry in the morning.

It would be so cold there in winter everything would be covered in snow.but if you do want to go catch a train from Aigle to Lausanne and then the light rail to the Ouchy which takes less than 10 min