Probably depends where you work at, but a lot of places will at least have a daily checklist that needs to be covered before you do anything else.
The list could include:
Check Daily back-ups and do a test restore
Check all server event logs (Hope you have MOM or some other tool that can help you with this, or else you are screwed, depending on the amount of servers you need to check)
Check Disk space (Also use other tools for this, no way of logging into 35 servers do do all that)
Check AV Console for any outbreaks (You should also receive a mail for this... but always good to check and see if everything is up to date etc)
Check Firewall log for any critical events
Check general health of network (network monitoring tool, no way you will ping 164 routers by yourself to see if they are all up...)
Check Mail server and make sure all is 100% there
Might have missed a few but if there are no problems with the above you can space out for the rest of the day, no, only kidding.
Then usually constant monitoring firewall and internet lines, or at least once an hour, and make changes where needed...
And filling in the change requests for any major changes, hate filling in those...
And then attend to any other problems that might come up during the day, which usually does like bad voice quality or routing problem at remote site etc...
And usually have 2 to 3 meetings a day (hate them, biggest waste of time)
Could add more but this might give you some idea I hope...