Receiving Jesus in the Eucharist one time per day is really enough. You don’t somehow get more holier receiving multiple times. As I understand it, the reason two Communions are now permitted (if the second one is received at a Mass at which the person assists) was to cover situations where a person might need to attend two Masses in one day, such as a Saturday morning Mass for a wedding and then a vigil Mass for Sunday happening at 6 pm.
With respect to just going to Mass, not necessarily receiving Communion, you could in theory go to several Masses in a day (as long as you stuck to the two-Communion-maximum rule). I’m aware of one saint who did this, Venerable Matt Talbot, who would go to several Sunday Masses. Matt Talbot was an alcoholic who had beat his addiction through strong Catholicism and dedicating himself to Mary, in the days before AA existed. His attendance at several Masses on his day off from work was likely helping him stay away from drink. If he’d lived in the days of AA, he might have gone to Mass and a couple of AA meetings.
I personally generally prefer to attend one Mass and then spend my prayer time for the rest of the day saying some other prayers. Occasionally I will go to two Masses when it’s a case of needing to meet two separate obligations, or when there happens to be two Masses I would like to attend happening on the same day (for example, a Mass at a morning retreat and then that evening a special Latin Mass somewhere else unconnected to the retreat). You can definitely offer up the Mass for a poor soul or something, but I don’t think a person gets holier by attending two Masses in a day when other people attend only one. The benefits of one Mass are so great that attending two on the same day just to gain spiritual benefit for yourself seems like overkill, unless you have another reason like meeting a Mass obligation or offering one for a special intention or for your own emotional support (because you need to keep yourself from hitting the bars or you just had a death in your family and want to be in church, etc.)