It is a form often used to connect two sentences that gives an exemple of things you will do/have done. Te-forms are often used to connect, but then it is more like: I did A and then B. With the tari-tari-suru forms it is more like, I did things like A and B. Sample:
先週、映画を見たり、勉強したりしました。
Last weekend I saw a move and studied etc.
Note that even though the tari requires a past tense form of the verb the whole sentence can be used in present tense, this is controlled via the suru at the end.
I know I didn't say everything there is to say about this so please await comments from others to get the full picture. But I hope it helps a little.