You'll need to set of early so I recommend catching the Odakyu Express Train from Shinjuku to Odawara at 9am (all included with the HFP). From here you can jump on the Hakone Bus to Hakone-Yumoto station followed by the railway to Gora. By now it will be around midday so you might want to have lunch in Gora. If you consider yourself a bit of an adventurous foodie then try the local delicacy of 'black eggs.' Just remember to hold your nose!