Is there a Hotel shuttle bus from Sofitel Jinan Silver Plaza to Inspur Science and Technology Park?

1. Well, as I know, the hotel doesn't provide this kind of shuttle bus service. You can take bus no.K96 to Yanshan Flyover East and transfer to bus no.K171 to Langchao Road South. After arriving, walk south around 100 yards to find the destination.
Or from the hotel, just take a taxi to the science park. The cab fare is CNY 25-35 in usual time.

2. From Main Railway Station to the hotel: Take bus no.49 from Zhanqian Road South to Yinzuo Shopping Mall. Then walk east around 200 yards.
From West Railway Station to the hotel: Take bus no.38 to Liuzhuang and transfer to bus no.K96 to Yinzuo Shopping Mall.

Thanks Evan! What about traffic in the city? I hears it's pretty bad and was recommended to stay at Sheraton instead

To be honest, the traffic jam is always heavy during the rush hours nowadays. Thus you are advised to commute early, and the traffic will be much lighter.