Use the search function as you will find there are a lot of users here who have posted their brain sheets.
We have computer charting where I work, so we always do report with that. Afterwards, we usually go to the room so I can say hi and introduce myself and then I tell the patient that I will be back after I finish my report. This allows me to do a quick eyeball of the patient and if the patient has any drips or dressings or things that I need to verify with the off-going RN, this allows me the opportunity to do so, too. After verbal report, I go back to the computer and check labs if they weren't mentioned (mostly paying attention to H&H, WBCs, electrolytes, BNP, creatinine and cardiac enzymes, but I eyeball everything, too), check for new orders, check the patient's histories/allergies (because they aren't always given to me in report and if a patient has a laundry list of allergies, I just tell them I'll look in the computer, they don't have to name off every single one) and meds for my shift. I also do a quick check of their vitals to see what they have been trending during the past 12 hours, though usually the off-going RN will alert me to the trends (but again, not always!).
And yes, CNAs do our vitals, too, but remember that you are ultimately responsible for them. If I get into the room before my CNA at the start of the shift (which I usually do), I will just check the vitals myself. It's easier for me that way. All of our patients are on monitors, but remember, if something is out of whack on the monitor, CHECK THE PATIENT, not the monitor. You'll learn that things like CPT will cause crazy v-tach with a "HR" in the 200's but that's what the monitor is telling you. Again, check the patient.
If I have tasks that need to be done, I just make a box next to each task on my sheet so that I can check things off as I go. For example, if I have a patient with an NGT or PEG and I need to check residuals Q4H, I will make boxes with 20, 00 and 04 and check them off as I go. If I have to flush a tube with tap water every so often per MD orders, I will make note of that. If a patient needs a urine or stool, I will make note of that and will highlight it on my sheet, too.
You will eventually learn what works best for you and establish a routine. And do not try to get of orientation as quickly as possible, make sure you are 100% ready. It is crucial for new grads to have a long, thorough orientation.