The 2 BbsI sites are in the opposite orientations and produce 2 cuts flanking the 2 recognition sites of the BbsI enzyme. This has 2 advantages:
1) Excision of the BbsI sites upon cleavage and gRNA insertion. This prevents re-cleavage and can help with assessing success of the gRNA insertion (by RE digest).
2) The opposite orientation of the sites mean that the 2 overhangs do not match so your plasmid is not likely to ligate to itself and will instead match up with your gRNA overhangs.
There is no gRNA that you need to remove, your gRNA will replace the bp between the 2 BbsI sites.
I hope it's working well for you :)