What do you want to beta?
Spelling and grammar - you'll just be fixing the spelling and grammar in the fic
Characterisation - are the characters in-character, do their motivations make sense etc
Plot - Are there any plot holes? Does something not make sense?
Continuity - Is there anything that's inconsistent in the fic? Are the characters in a restaurant and then suddenly on the street with no explanation, did character A pick something up twice in a scene etc
Style - This should be agreed upon between author and beta as to whether it's wanted. The beta suggests style changes e.g there are too many adverbs used in a sentence, suggestions of changes to dialogue, structure etc.