The main aspect of the Geulah is that God wants his people comforted immeasurable after sentences of exile. In the same way as Jewish people have suffered a double portion of punishment (one for his sins and one as priests of nations), God prepares a double share consolation and blessing:
Comfort, comfort my people, says your God. Speak to the heart of Jerusalem, and cry unto her that her time of trial is over, that his crime purged, she has received from the Lord’s hand double for penalty all his faults. (Isaiah 40: 1-2)
Thus the Lord has comforted Zion, comforted all her ruins has and has transformed his desert into Eden, his solitude in the garden of God. In reign in joy and gladness, thanksgiving and voice hymns (…) Yes, the redeemed of the Lord return they will return to Zion with songs of triumph, a perpetual joy crowning their heads with joy and gladness will be sharing, bye pain and sighs. (Isaiah 51, 3, 11)
Where spread your shame, it would be twice happy where burst your shame we boast of his fate, yes, in their country they will double inheritance, everlasting joy will be their lot. (Isaiah 61, 7)