Route 104 -- NorthEdit
Pick up the berries near the entrance point of the woods, and head over to the Pretty Petal Flower Shop. Just, outside, there's this this weird kid who likes to shoot seeds from his mouth at innocent passer-bys. Now, he wants you to terrorize the people the same way, so he gives you TM09. TM stands for 'technical machine'. These are programmed moves that you can teach a Pokemon that's compatible with it. This one contains Bullet Seed, a Grass attack that will shoot seeds at your opponent for 2-5 turns. It may not do much, but it will keep them on edge for a bit.
Now enter the shop. At the top, there's a girl who'll give you the Wailmer Pail, so that you can water your berries and make them grow. Sweet. On the right, there's a girl who, when talked to, will give you a random berry each day. Now you can exit, since the Shop has not yet opened. Outside, there's a woman who'll give you a White Herb.
Move up north, up the bridge,where you'll encounter your first Double Battle. After crossing it, you can talk to the lady near the soil patch to gain a Chesto Berry, which awakens a Pokémon when it is asleep.
On the way, you'll encounter the following trainers:
Head north till you reach Rustboro City.