I can't seem to find and Indo European root for this word. I'm not even sure if it has indo european origins.
It's hard to say. According to Beekes Etymological dictionary:
Given the perfective meaning of εὑρίσκω, the aorist εὗρον is probably old. An old perfect seen in εὕρη-κα probably existed next to it. After this, εὑρήσω arose, and the latest member of the paradigm (beside εὑρεθῆναι) was the present εὑρίσκω (quantity of the ι unknown). The aorist εὗρον may be a thematic root formation standing for the augmented ind. *ἔ-ϝρ-ον; on this form, see Vara Emerita 61 (1993): 177-9. The aspiration is perhaps secondary after ἑλεῖν etc. Alternatively, was it a reduplicated aorist *u̯e-u̯r-e/o- from *ue-urh1-e/o-, with dissimilatory loss of the anlauting ϝ- and secondary aspiration, in which case, according to Beckwith Glotta 72 (1994): 24-30, the root-final laryngeal was lost in a reduplicated formation? A reduplicated formation is also found in the OIr. preterite -fúar 'I found' < IE *ue-ur- (pres. fo-gabim ); the pass. -frīth 'inventum est' agrees with *ϝρη- in -ϝέ-ϝρη-κα (> εὕρηκα) as IE *urh1-to-. IE *ureh1-t- has also been supposed in OCS ob-rětъ 'I found'. A full grade * uer- is seen in Arm. gerem (with secondary aorist gerec'i ) 'take prisoner'. Taillardat RPh. 34 (1960): 232-235 assumes *suer-, with *sesure > εὗρε.
Appart from that, he puts a question mark on the origin of the word. In other words, the present IE suggestions are not conclusive.
The authors of this website consider that it comes from the reconstructed root: *u̯er