What you could be doing in a graduate engineering role will depend entirely on the company/role you're in, however you should typically expect that you'll be doing a lot more theoretical/paper based work rather than hands on stuff. Maybe this is mean to say, but once you've got a degree you're progressed past the hands on fabrication work, that's done by blue collar workers, you've 'progressed' past that. Instead you may be developing the CAD files/ analysis to produce the work, or using computer modelling tools to predict how something will behave.
What you find 'boring' s completely up to you, but do expect to be doing more analysis and paper based work for a lot of it, such as writing reports based on work that's been completed.
Again all of this depends on the role that you get.