alright here is the scoop
it is a ficus benjamina which i believe is a weeping fig or a rubber tree please correct me if i'm wrong but it looks exactly like a benji bush
this plant is a little harder to take cutting of, however, now is the perfect time of the season to do so guessing your in this hemisphere
cuttings of this plant have a mediocre at best rooting rate so that means you'll want to take a lot of cuttings.
what to look for in the cutting:
you will need a razor and rooting hormone along with a tray with your starter medium of choice, soil rockwool rapid rooters ezclone etc etc
fresh green growth tips with a lil bit of woodiness towards the bottom
these will be at the top, you will want to get 3-4 nodes of the shoot on this plant.
when you take the cutting, use a steril razor and make a 45 degree slit right where the fresh green gets a little tougher, not quite woody but branchy
dip in hormone, sprinkle in dirt, and plant
care for these while they root over a couple weeks or so is indirect lighting(very sensitive to light until they start to take root, as they won't have a root system the plant would be able to handle the growth, hydration photosynthesis etc etc until its rooted some and becomes stronger
you'll want to keep it very moist and may even consider a dome lid with holes in it.
remember indirect light only at this point which means shade pretty much.
after that they will benefit from a veg fertilizor at 1/4 the recommended lite dosage.
and remember to take a lot as most peoples success rates are poopy until they get the technique, and sterileness of it, and then again you have people who get 100 percent rates with rusty razor blades its like indians that can grow corn and i don't really know what i mean by that but it just sounds true, in my heart