If it is the double form of R. roxburghii -- "Chestnut Rose" -- it will probably repeat -- but NOT the sort of heavy repeat bloom you would get from a China, or Tea, or a modern rose. It's an "occasional repeat."
HOWEVER -- take heed of Porkpal's mention of prickles. Chestnut Rose is a THORNY DEVIL.
For a rose that would climb a tree and repeat bountifully -- in a mild enough climate -- you might look at 'Mutabilis'.
Though it is not "billed" as a climber, I have seen 'Mutabilis' aggressively climbing an oak tree.