No, they were doing a ceremony in memory of Christ. Communion is much more than breaking bread and sipping wine. There was no liturgy or established prayers or typikons for consecration. All this come later, much later.
In your opinion when did they start having a formal meeting and had communion?
We don't know. Somewhere between the Corinthians (c. 50 AD) and the end of the the century. Roman records show that in the early 2nd century they were separate, and they persisted as separate all the way up to the 4th century (because St. Augustine speaks disapprovingly of the agape meal as something separate from the communion).
Since the communion I see in the bible is a time of refection on what Christ has done using the bread and wine like the last supper as a celebration and a time of refection
That's not what the Church says communion is. The Church says the bread and wine become the body and blood of Christ, literally speaking, by the Holy Spirit at the consecration in the divine service performed by the priest. Nothing like that was taking place when the Corinthians were written.
The 1st century church did not look at in the way that it has been perverted today. They did not see it turn into a host.
PS as far as acts is concerned they were doing a Jesus said do this in remembrance of Me. They were meeting daily celebrating and breaking bread remembering what Jesus had done for them.