You can't prove that from scripture. All you get from scripture is that the new churches (meaning small numbers of people) met in home churches. The Church in Jerusalem was so large it couldn't meet in a home, but met in the courtyard of the temple. Rome had a church meeting in a warehouse, as recorded by archeology. So Christians began meeting in public places pretty soon.
As to the construction of church buildings, this came later when the church was more grounded.
Unless claims for recent discoveries of early Christian meeting places are confirmed, the earliest building certainly devoted to Christian use is at Dura Europos on the Euphrates River in eastern Roman Syria. It was a house that came into Christian possession and was remodeled in the 240s. Two rooms were combined to form the assembly room, and another room became a baptistery—the only room decorated with pictures. Dura was destroyed by the Sassanian Persians in 256, so the house's use as a church was short-lived.
The church's house at Dura represents an intermediate stage between meeting in members' houses or other suitable places, and constructing buildings specifically for church meetings. There are literary references to separate church buildings from the end of the second century and through the third century, but it is uncertain whether these were existing structures remodeled for church use, like the house at Dura, or new constructions. We have archaeological evidence of halls being built for church meetings at the end of the third and beginning of the fourth century.
http://www.christianitytoday.com/ch/asktheexpert/ask_churchbuildings.html