Hangzhou railway station is same as HZ Bullet station to shanghai?

Yes, you are right. HZ Railway Station is the same as HZ bullet train station to Shanghai.
To reach West Lake from the railway station, it is suggested to take a taxi to reach directly. The taxi fare is around 15RMB.
Or you can take the local public bus Y7 to reach that area and the fare is around 1 to 2RMB per person.