Thanks for the question.
Two things need to be cleared up before you can go to Communion:
- your husbands marital status.
Second, you must have your civil marriage blessed in the Church, so it can be properly affirmed and recognized as a legitimate sacrament in the Church (As such, it is not).
- Was his former marriage annulled?
<If not, that needs to be sorted out.>
Until you do these things you should not go to Communion, and you should be living as brother and sister (no conjugal relations) until you do. Adultery is a serious sin so you need to make sure that your current state is not furthering a grave problem.
Being faithful is hard, sometimes costly, but also an incredible source of grace—God rewards it abundantly! You should meet with a priest to talk through how to fix this, along with your husband, and know that God will see you through.
This is more than Church rules and regulations — the permanence of marriage is something Jesus taught explicitly and needs to be recognized as such. An annulment does not create a Catholic divorce but insures that there was a defect from the start, preventing God from sealing the covenant. An annulled marriage was never a sealed covenantal marriage in the eyes of God.
You did the right thing with your own situation. Explain to your husband your desire to be right in the eyes of God and that you need his help to do so — if he loves you, he will.