If you're asking to directly access the the high-resolution satellite and aerial imagery from Google Earth and use it for analysis in Earth Engine, then unfortunately the answer in almost all cases will be that it's not available for free in Earth Engine. As the other answer alluded to, most of the imagery in Google Earth & Maps is commercially provided data, sold by 3rd parties under licenses that allow it to be displayed through Google's mapping products, but not redistributed for other uses (for details see the Earth/Maps terms of service).
That said, you can find a lot of free, publicly available imagery in the Earth Engine data catalog, but most of that will be lower spatial resolution, though often much higher temporal resolution. For example, Landsat and Sentinel have between 10 and 30 meter resolution, and image nearly the entire earth about every 2 weeks. If that free data (and/or any private data you wish to upload to your account) can serve the analysis you want in Earth Engine, then you're good to go, but if you really need high-resolution imagery, you'll probably need to source it yourself. The only high-res imagery currently (2021) in the Earth Engine data catalog is the NAIP datasets (1m resolution, continental US only, every 3-5 years) and a few small patches of SkySat imagery from around 2015. More on those datasets here: https://developers.google.com/earth-engine/datasets/tags/highres