Buses

34 (Arriva)

Guildford, Slyfield Green, Jacob's Well, Sutton Green, Westfield, Woking, St John's Knaphill, Bisley, Lightwater, Bagshot and Camberley

83 (Stagecoach)

Connaught Park, Bagshot and Collingwood College

500 (Dicksons Travel)

Staines, Egham, Virginia Water, Sunningdale, Windlesham, Bagshot, Camberley and Frimley Park Hospital

675 (Carlone Buses)

Windlesham, Bagshot, Lightwater, Chobham, Mimbridge and, Kingfield Green

Bus Timetable online at Surrey Country Council

Trains

Bagshot station is on the Ascot to Guildford line which stops at Ascot, Bagshot, Camberley, Frimley, Ash Vale, Aldershot, Ash, Wanborough and Guildford.  There is a service to London Waterloo (mainly rush hour).
South West Trains pocket timetables
Timetable 12 for the Ascot to Guildford to London Waterloo trains

The station is located on Station Rd, Bagshot GU19 5AS