SBC - Kranti Veera Sangolli Rayanna Bengaluru: Station in Garden - Dinesh Kumar

Just 2 hours apart.. It's better to grab a taxi or book Ola and stuff.
Otherwise, if you wanna go by public transport, you can take the local CTU (Chandigarh Transport Undertaking), a government-owned bus service, to ISBT Sec-43 Chandigarh. From there, you can hop on government buses going to Kalka, Solan, Shimla, etc, if you've got the time.
Another choice is to head to Housing Board Chowk from the railway station using a CTU bus (should cost around 10-20 Rs), auto-rickshaw (max Rs 100), or taxi (short distance of less than 5 kilometers). And from Housing Board Chowk, you can catch government buses coming from ISBT-43 Chandigarh to Kalka... if you've got the time, of course.