If someone were to marry outside the catholic church but wished to continue going to catholic mass how would that person be limited as far as receiving the sacraments since they are considered to be living in sin.
This person would be unable to receive the sacraments of Reconciliation and Eucharist (or Anointing of the Sick) until they have repented and made a firm ammendment of purpose not to sin anymore. This would mean convalidating their marriage. Reconciling with the Church in such a case may entail several steps, depending upon the particular marriage situation, such as prior marriages, etc.
Why would a person do such a thing in the first place?
And if this person died would they still be able to have a catholic funeral?
From Canon Law:
THOSE TO WHOM ECCLESIASTICAL FUNERALS MUST BE GRANTED OR DENIED
Can. 1183 §1. When it concerns funerals, catechumens must be counted among the Christian faithful.
§2. The local ordinary can permit children whom the parents intended to baptize but who died before baptism to be given ecclesiastical funerals.
§3. In the prudent judgment of the local ordinary, ecclesiastical funerals can be granted to baptized persons who are enrolled in a non-Catholic Church or ecclesial community unless their intention is evidently to the contrary and provided that their own minister is not available.
Can. 1184 §1. Unless they gave some signs of repentance before death, the following must be deprived of ecclesiastical funerals:
1/ notorious apostates, heretics, and schismatics;
2/ those who chose the cremation of their bodies for reasons contrary to Christian faith;
3/ other manifest sinners who cannot be granted ecclesiastical funerals without public scandal of the faithful.
§2. If any doubt occurs, the local ordinary is to be consulted, and his judgment must be followed.
Can. 1185 Any funeral Mass must also be denied a person who is excluded from ecclesiastical funerals.