Beginning adverbs are provided in this article. The words listed here are commonly found along with the verb beginning in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb BEGINNING.
actually, annually, apparently, approximately, barely, certainly
clearly, definitely, dimly, early, especially, evidently
exactly, finally, generally, gradually, immediately, merely
nearly, probably, quickly, rapidly, really, recently
scarcely, seriously, shortly, simply, slowly, suddenly
truly, typically, usually
Hope this word list had the beginning adverb you were looking for. In addition to adverbs used with beginning, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.