完 wán (= complete) and 懂 dǒng (= understand) are complements of result.
In order to express that the result can be attained or is attained, the following structure is used:
verb + de + complement of result.
你 | 看 | 得 | 完 | 吗 | ? |
nǐ | kàn | dé | wán | ma | _ |
you | look | get | complete | particle | _ |
you | look, read | get | finish | particle | ? |
Can you finish reading (it)? |
你 | 听 | 得 | 懂 | 吗 | ? |
nǐ | tīng | dé | dǒng | ma | _ |
you | listen | get | understand | particle | _ |
you | listen | get | know, understand | particle | ? |
Do you understand? |