A colored background means that the Pokémon can be found in this location in the specified game. A white background with a colored letter means that the Pokémon cannot be found here.
Visit the gate on the route's east side and speak to the Scientist. He happens to be one of Professor Oak's aides and has been tasked with evaluating your Pokédex progress. If you have caught at least 30 different species, he rewards you with the Itemfinder. Using this machine reveals any items that may be hidden nearby.
Time for a Trade
The boy near Oak's aide wants a NidorinaFR / NidorinoLG, and is willing to trade its opposite-gender counterpart for one. Both Pokémon can be obtained elsewhere without trading.
Diglett's Cave
Diglett's Cave is a long tunnel that spans nearly the whole region, linking Route 11 to the east side of Route 2. Like the name implies, the only Pokémon that can be found here are Diglett and its evolved form, Dugtrio.
A colored background means that the Pokémon can be found in this location in the specified game. A white background with a colored letter means that the Pokémon cannot be found here.
Route 2 (East)
Route 2
The east side of Route 2 was initially inaccessible without HM01 (Cut). The northwestern end of Diglett's Cave emerges here.
A colored background means that the Pokémon can be found in this location in the specified game. A white background with a colored letter means that the Pokémon cannot be found here.
Visit the northeast house and speak to the man inside. He is looking to get an Abra, and is willing to trade his Mr. Mime to get one. Abra can be found near Cerulean City, though their tendency to Teleport makes them difficult to capture. Mr. Mime is a unique Pokémon that cannot be found anywhere else.
Let There Be Light
Use Cut and continue south to reach the gate, where another of Oak's aides is waiting for you. As a reward for capturing at least 10 different species, he gives out HM05 (Flash). This move makes it easier to navigate the dark interior of certain underground areas.
From here, you may want to revisit Viridian City to visit the man near the pond. This is another Move Tutor, who offers to teach the move Dream Eater to one of your Pokémon.
Pewter City
Pewter Museum of Science
On this latest visit to Pewter City, you can use Cut to clear the small tree on the northeast hill to reach the employee-only area of the museum. Speak to the Scientist standing next to the table to receive the Old Amber. There are Scientists elsewhere who have apparently developed a way to regenerate Pokémon from ancient bits of DNA like this.
Fork in the Road
The next step is to return to Cerulean City. There are two ways to get back there: either travel east through Mt. Moon again, or hike back through Diglett's Cave and head north from Vermilion City. Once back in Cerulean City, make your way to the east side of town and use Cut to clear the small tree and continue eastward.
A colored background means that the Pokémon can be found in this location in the specified game. A white background with a colored letter means that the Pokémon cannot be found here.
Route 10 connects Route 9 to Lavender Town in the south. Much of the route is occupied by a river and the grounds of the Kanto Power Plant. Anyone traveling through the area must venture through the dim interior of Rock Tunnel. A remote Pokémon Center near the cave gives Trainers a chance to prepare themselves.
A colored background means that the Pokémon can be found in this location in the specified game. A white background with a colored letter means that the Pokémon cannot be found here.
Before setting out for Rock Tunnel, speak to Oak's aide inside the Pokémon Center. As a reward for capturing at least 20 different species, he gives out an Everstone. When held, this unique stone prevents the Pokémon from evolving.