OK, here is an approximation good for fingerpicking while singing.

It is in the key of C, for easy transposition with capo.

A -  ve  Ma-ri  - a, 
C C/A       G G7  Am

gra-tia plena.
G G7        C

Ma-ria, gratia ple-na
  Am           B7   

Ma-ria, gratia plena
   Dm             Am

Ave, ave dominus,
G    A    D

Dominus Tecum.
D7         G

Benedicta tu in mulieribus,
G7                   C

Et benedictus
   G7      C

Benedictus fructus ventris tui
   G7 E7           Dm   

Ventris tui, Jesus.
Dm           F7  G

Ave Maria.
C C/A G G7 C

(closing)
C C(higher arpeggio) F  Fm C