Himavad Gopalaswamy Betta is in Chamarajanagar district , about 87 km southwest of Mysore on the way to Ooty and Bandipur. This is not one of those easily reachable places from Myosre, though there is a decent road connection. That's because there are no regular public transport available to this hilltop shrine located inside the forest land.

The best means to reach Gopalaswamy Betta is to take your car or hire a cab.
Mysore City -- 24km --> Nanjangud -- 43km  --> Gundlupet - 8km  --> Hangala village (take right deviation) -- 12km --> Gopalaswamy Betta

The route is same as described in the Mysore to Ooty driving direction up to Hangala village. Take the right turn at the arch and the signboard that welcomes to Gopalaswamy Betta located in the village. From this point the temple is at about 12km. You'll cross some villages and sprawling sunflower farms and finally hit the base of a large hill.

As you start the uphill appears  a check post by the forest department. A gate across the road after about 4km from  Hangala marks the beginning of the forest. The guard manning the post note down details (vehicle reg. no, name etc) and opens the gate. An entry fee has to be paid.
It's a typical hilly road along the edges of the slop with many sharp bends. The road finally ends in front of the Gopalaswamy. A little ahead is the outpost and the guesthouse of the forest department.

Entry to the forest is allowed only during the day time. Also straying into the forest is prohibited. This is a dangerous stretch as it has a good size of elephant and bison population. Both are known to charge when felt threatened.

Regarding public transport, you can easily get a bus connection up to Gundlupet , or even up to Hangala village, if you hop on one of those Ooty bound bus. Further you've to hire a local transport. This is best done at Gundlupet rather than at Hangala, as it is a small village. Also during the weekend a bus service is operated from the KSRTC bus stand at Gundlupet to Gopalaswamy Betta.

During the festival seasons you can get more local connections , also KSRTC operate special buses from Mysore to Gopalaswamy Betta during the Mysore Dussera season.