Yes, the Executor/Trustee can also be the beneficiary of your Will. It is in fact quite common so the beneficiary can also manage the estate.
However, you might consider whether there would be a conflict of interest if the executor/trustee is also the beneficiary, as the executor may be tempted not to act in the best interest of the other beneficiaries.
If you would like to give them a gift conditional upon acting as the executor/trustee, then you should contact us to discuss options.