Have you raised the seat to a higher level? If a frame is too small, it is usually too short and you can't adapt an efficient riding position. Globe is a fairly upright style of bike designed for easy riding in flatter cities.
If you need a speedier ride for a hillier commute, look for a lightweight flatbar roadbike style such as the Sirrus. Most other brands make this style as well.
You need 3x8 or 9 gearing, clearance to fit min 28mm tyres+ fenders, threaded eyelets for rack and fenders and a bike that fits you well.
You could get some kind of road bike but the racier kind are less practical, look for one with the features above.